how many 5-letter sequences (formed from the 26 letters in the alphabet, with repetition allowed) contain exactly two a’s and exactly one n? .

Answers

Answer 1

There are 28,800 5-letter sequences that contain exactly two 'a's and exactly one 'n' when repetition is allowed.

To determine the number of 5-letter sequences that contain exactly two 'a's and exactly one 'n' (with repetition allowed), we can break down the problem into smaller steps.

Step 1: Choose the positions for the 'a's and 'n':

We have 5 positions in the sequence, and we need to choose 2 positions for the 'a's and 1 position for the 'n'. We can calculate this using combinations. The number of ways to choose 2 positions out of 5 for the 'a's is denoted as C(5, 2), which can be calculated as:

C(5, 2) = 5! / (2! * (5-2)!) = (5 * 4) / (2 * 1) = 10.

Similarly, the number of ways to choose 1 position out of 5 for the 'n' is C(5, 1) = 5.

Step 2: Fill the remaining positions:

For the remaining two positions, we can choose any letter from the 24 letters that are not 'a' or 'n'. Since repetition is allowed, we have 24 options for each position.

Step 3: Calculate the total number of sequences:

To calculate the total number of sequences, we multiply the results from step 1 and step 2 together:

Total number of sequences = (number of ways to choose positions) * (number of options for each remaining position)

= C(5, 2) * C(5, 1) * 24 * 24

= 10 * 5 * 24 * 24

= 28,800.

Therefore, there are 28,800 5-letter sequences that contain exactly two 'a's and exactly one 'n' when repetition is allowed.

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Related Questions

f(n) = 2• (-3)^n

complete the recursive formula of f(n).

f(1) = ____
f(n) = f(n - 1) • ____

Answers

Answer:

[tex]f(1)=-6[/tex]

[tex]f(n)=f(n-1)(-3)[/tex]

Step-by-step explanation:

We are given that

[tex]f(n)=2\cdot (-3)^n[/tex]

We have to complete  the recursive formula of f(n).

Substitute n=1

[tex]f(1)=2\cdot (-3)[/tex]

[tex]f(1)=-6[/tex]

[tex]f(2)=2\cdot (-3)^2=18[/tex]

[tex]f(3)=2\cdot (-3)^3=-54[/tex]

[tex]\frac{f(2)}{f(1)}=\frac{18}{-6}=-3[/tex]

[tex]\frac{f(3)}{f(2)}=\frac{-54}{18}=-3[/tex]

It forms geometric sequence because the ratio of two consecutive terms are equal.

Therefore, the recursive formula

[tex]f(n)=f(n-1)r[/tex]

[tex]f(n)=f(n-1)(-3)[/tex]

Answer:

f(1) = -6

f(n)= f(n−1)⋅ -3

Step-by-step explanation:

You can work a total of no more than 35 hours each week at your two jobs. Housecleaning pays $7 per hour and your sales job pays $9 per hour. You need to earn at least $314 each week to pay your bills. Write a system of inequalities that shows the various numbers of hours you can work at each job.

Answers

Answer:

Look Below

Step-by-step explanation:

7x+9x=314 I think that is what you are looking for I am not sure. Please do not be mad if wrong.

The  system of equation of inequalities in various numbers of hours are

h+s≤35

7h + 9s >_314.

To write a system of inequalities.

What is inequality?

The relation between two expressions that are not equal, employing a sign such as ≠ ‘not equal to’, > ‘greater than’, or < ‘less than’.

Given that:

The system of equation of inequalities are

h+s≤35

7h + 9s >_314

Therefore , the  system of equation of inequalities in various numbers of hours are

h+s≤35

7h + 9s >_314.

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Joe borrowed $4,000 from the bank at a rate of 7% simple interest per year. How much interest did he pay in 3 years?

Answers

Answer:

Wmkwkqkw siwiq q wksos ww wkwlwkw wlw

Answer:

$840

Step-by-step explanation:

4000 x .07= 280

280 x 3 = 840

please do them all please

Answers

Answer:

7(3 + 3x)  =  21x + 21

2d + 10(4d +4 + 2a)  =  20a + 42d + 40

3t + 2x + x  =  3t + 3x

5(r + 12) - 25  =  5r + 35

18s + 12rs + 10r - 2rs  =  10rs + 10r + 18s

s(12 - 4) + 2  =  8s + 2

w(15 - 3) + 2 + 7w  =  19w + 2

Step-by-step explanation:

A blood bank needs 6 people to help with a blood drive. 13 people have volunteered. Find how many different groups of 6 can be formed from the 13 volunteers.

Answers

The number of different groups of 6 that can be formed from the 13 volunteers is; 1716

How to solve permutation and combination?

This is a combination question that follows that formula;

nCr = n!/(r!(n - r)!)

We are told that the blood bank needs 6 people to help with a blood drive and that 13 have already volunteered.

Thus, number of different groups of 6 that can be formed from the 13 volunteers is;

¹³C₆ = 1716

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Find the slope between (1,-19) and (-2,7)

Answers

Answer
4



Explanation
(1,19) (-2,7)
7-19=-12
-2-1=-3
The divide -12 and -3 and you get 4
Hope this helps

Answer:

m= -26/3  

Step-by-step explanation:

I used an app called  "M a t h w a y " (with no spaces) you should use it

it is very helpful!

The point (-7,3) is on the line given by which of the equations below?
A. y = 3x
B. y= 7x
C. y= x + 10
D. y= x-10
what equation?

Answers

The answer is c (y=x+10).

Yo i need help refer to picture​

Answers

Step-by-step explanation:

AA: Two pairs of corresponding angles are equal.

ASA (Angle-Side-Angle)ASA: Two pairs of corresponding angles and the corresponding sides between them are equal. hope this helps you. means similarity would be equal.. I cannot read your paragraphs that well they are too small but I hope this helps you just got to find which paragraph it shows that they AA and AAS a are similar to each other by being equal

Khushali selects three different numbers from the set
{−7, −5, −3, −1, 0, 2, 4, 6, 8}. She then finds the product of the three chosen
numbers. What is the largest product that Khushali can make?

Answers

Answer:

The sample space for given condition is

(1,8),(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)

(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)

(1,6),(2,6),(3,6),(4,6),(5,6)

(1,5),(2,5),(3,5),(4,5)

(1,4),(2,4),(3,4)

(1,3),(2,3)

(1,2)

Number of sample space is 28.

Number of sample space where the sum of two numbers is more than 13 is 2((6,8),(7,8)). Therefore the probability is

28

2

=

14

1

Step-by-step explanation:

please thank to all my answer and please mark as brilliant

prove that the polynomials are nonnegative a^2-2ab+b^2+c^2

Answers

Answer:

a2 + b2 + c2 - ab - bc - ca

= (1/2)(2a2 + 2b2 + 2c2 - 2ab - 2bc - 2ca)

= (1/2)(a2 - 2ab + b2 + b2 - 2bc + c2 + c2 - 2ca + a2)

= (1/2)[(a-b)2 + (b-c)2 + (c-a)2]

Now we know that, the square of a number is always greater than or equal to zero.

Hence, (1/2)[(a-b)2 + (b-c)2 + (c-a)2] ≥ 0 => it is always non-negative.

To prove this equation non-negative, you will have to convert the equation in terms of perfect square form containing a,b and c.

Now,
a²+b²+c²-ab-bc-ca
= ½ • ( 2a²+2b²+2c²-2ab-2bc -2ca )
= ½ • ( a² -2ab +b² +b² -2bc +c² +c² -2ac +a² )
= ½ • { (a-b)² + (b-c)² + (c-a)² }

For any value of a,b,c
(a-b)² ≥ 0,
(b-c)² ≥ 0,
(c-a)² ≥ 0,

So,
a²+b²+c²-ab-bc-ca = ½ • { (a-b)² + (b-c)² + (c-a)² } ≥ 0 i.e. Non-negative [ proved ]

Find the length of the third side. If necessary, write in simplest radical form. 1 2

Answers

Answer:

√3

Step-by-step explanation:

Using the pythagorean theorem, we know that a^2 + b^2 = c^2

In this case, c = 2, which means that a^2 + b^2 = 4

Since we know that a = 1, this means that a^2 is also 1. So, we know that b^2 = 4 - 1

Therefore, b^2 = 3

So, the answer is square root 3

Plz mark as brainliest :D!

helpppppppppppppppppppppppppppppppp plzzzzzzzzzzzzzzzzzzzz

Answers

Last one I got 5 37/45 but it says round to the nearest

The graph shows two lines, A and B.
у
6
A
B
5
4
3
2
1
-X
0
1
2
3
4
5
6
Part A: How many solutions does the pair of equations for lines A and B have? Explain your answer. (5
Part B: What is the solution to the equations of lines A and B? Explain your answer. (5 points)

Answers

Part A: One solution because the lines intersect one time.
Part B: (3,4) or x=3 and y=4 (depending on how you have to write it)

65/100 as a dollar amount

Answers

Answer:

The answer is $0.65, or 65 cents.

Answer:

$.65

Step-by-step explanation:

so 65 cents

how to solve 15x^3/4

Answers

Answer:

            3

Simplify   —

           4

Equation at the end of step

1

:

       3

 15x • —

       4

STEP

2

:

Final result :

 45x

 ———

  4

Step-by-step explanation:

Answer:

Well...without the x I know it is 843.75 but I don't know the fraction of it so sorry! I try my best to help people!

Which linear function represents the table
PLEASE HELP ME ILL GIVE BRAINLIEST

Answers

Answer:

the answer is B y=6x+2

Step-by-step explanation:

Answer:

The answer is B.

Step-by-step explanation:

Hope this helps.

Can anyone help me with this please?

Answers

Answer: 3/1

Step-by-step explanation:

use the 2 bottom ones

How do I solve this?

Answers

Answer:

sin (330)

csc (60)

cos (390)

Step-by-step explanation:

Solve the trigonometric equation by isolating the function and then taking the inverse. Use the period to find the full set of all solutions

49x^2 -_x + 16

Can someone help with the missing number

Answers

Step-by-step explanation:

I'm guessing this is competing the perfect square

so it's 56

Answer:

Step-by-step explanation:

4x² + 28x + 49

4x² + 14x + 14x + 49

2x(2x) + 2x(7) + 7(2x) + 7(7)

2x(2x + 7) + 7(2x + 7)

(2x + 7)(2x + 7)

(2x + 7)²

= 28

C = -y - a/b


Solve the variable a


Can you please show each step

Answers

C=-y-a/b
Multiply c and y with b
-bc=yb-a
-bc-yb=a

What is the result when 3x3 + 20x2 – 11x – 28 is divided by x + 7?

Answers

Answer:

Step-by-step explanation:

Let's perform this division using synthetic division.  The coefficients of the given expression are {3, 20, -11, -28}, and the appropriate divisor is -7 (that comes from x + 7):

-7    /     3       20     -11       -28

                     -21        7       28

      -------------------------------------

             3         -1      -4         0

Since the remainder is 0, -7 is a root of the given expression, and the coefficients of the quotient are {3, -1, -4}.  The quotient is therefore

3x^2 - x - 4

Phil is buying a sandwich. He has the following choices.

Bread: wheat (W), italian (I), baguette (B)
Cheese: grated (G), sliced (S)
Meat: chicken (C), turkey (T), fish (F), ham (H)

If each sandwich consists of one type of bread, one type of cheese, and one type of meat, which best represents four of his possible sandwich choices?
WIG, WCT, WGS, WST
WG, WS, WC, WT
WGT, WGF, WSC, WSH
WGSC, WGT, WBS, WGSF

Answers

Answer:

its WG, WS, WC, WT

Step-by-step explanation:

Answer:

wgt, wgf, wsc, wsh

Step-by-step explanation:

7/20% off 25 is what?

Answers

Answer:

As a fraction: 7/80

0.0875

Step-by-step explanation:

If you meant 20% it is 5.

I need help with math if you don't know the answer get out of the question and don't answer it and give the wrong answer or some link or even say "I don't know" or anything like that it's not fair to me cause it a waste of my points I will report your if you do that :) have a nice day and stay safe

Answers

Answer:

Please do not report me if this is wrong but my friend beside me is giving me the answer and she said its 60

Step-by-step explanation:

Given the histogram, use the drop-down menus to identify the elements.
Zero frequency: (300-350) (351-400) (401-450
A peak: (650-700) (601-650) (451-500)

the ones in parenthisis r the answer choices

Answers

Answer:

Zero frequency:  

✔ 351–400

A peak:  

✔ 651–700

Step-by-step explanation:

Answer:

zero frequency

351-400

A peak

651-700

Step-by-step explanation:

Please answer! I will give brainliest, it would make my day :-)

Write a formula for the given measure. Let P represent the perimeter in inches, and w represent width in inches. Identify which variable depends on which in the formula.

the perimeter of a rectangle with a length of 5 inches

P=

Answers

Step-by-step explanation:

p = perimeter

w = width

let the length be l

as we know that

perimeter of rectangle (p).= 2(l+ w)

p = 2 ( 5+w)

p = 10 + 2w

so here variable p is dependent on the value of w.

hope this will be helpful to you .plz mark my answer as brainlist plzzzz if you find it useful.☺️.

Which is the best first step when solving the following system of equations?
5C+40= 10
3C+2d=16

Answers

Answer:

multiply the second equation by - 2

Step-by-step explanation:

Given the 2 equations

5c + 4d = 10 → (1)

3c + 2d = 16 → (2)

Multiplying (2) by - 2 and adding to (1) will eliminate d

- 6c - 4d = - 32 → (3)

Add (1) and (3) term by term to eliminate d

- c + 0 = - 22

- c = - 22 ( multiply both sides by - 1 )

c = 22

Substitute c = 22 into either of the 2 equations and solve for d

Substituting into (2)

3(22) + 2d = 16

66 + 2d = 16 ( subtract 66 from both sides )

2d = - 50 ( divide both sides by 2 )

d = - 25

solution is c = 22, d = - 25

-2 would be your answer




Hope it helps

Help me for a cookie

Answers

Answer:

49

Step-by-step explanation:

SUBTRACTION IDIOT

Answer:

X= 49

Step-by-step explanation:

Right angle= 90 degrees = subtraction (90-41)

can someone please help me again, i suck at math..

Answers

Answer:

18.55 - 1.75= 16.8

16.8/12= 1.4 oz

Answer- 1.4 oz

Step-by-step explanation:

Sorry if this is wrong, I suck at math, too.

which expression is equivalent to (x ^4) ^-5

Answers

Answer:1/x^20

Step-by-step explanation:

Answer:

[tex]\frac{1}{x^{20}}[/tex]

Step-by-step explanation:

[tex](x^{4})^{-5}[/tex] = [tex]\frac{1}{(x^{4})^{5}}[/tex] = [tex]\frac{1}{x^{20}}[/tex]

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