1320 different ways are there to select the officers so that only one person holds each office given that the club has 12 people who would like to choose people for the offices of president, a vice president, and a secretary. This can be obtained by using the formula of permutation.
How many different ways are there to select the officers so that only one person holds each office?Total number of people in the club = 12
total number of positions = (president, vice president, secretary) = 3
From 12 people 3 people are taken at a time.
That is, using the formula for permutation we get,
ⁿPₓ = [tex]\frac{n!}{(n-x)!}[/tex]
Here n = 12 and x = 3
P(12,3)= 12!/(12-3)! =12!/9! = 10×11×12 = 1320
Hence 1320 different ways are there to select the officers so that only one person holds each office given that the club has 12 people who would like to choose people for the offices of president, a vice president, and a secretary.
Learn more about permutation here:
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Which expression has the smallest value? ǀ 65 ǀ - ǀ -34 ǀ - ǀ 27 ǀ ǀ -17 ǀ
Answer:| -17|
Step-by-step explanation: the lines represent the absolute value which is 17 out of the rest it has the smallest value
The Smith Family and the Jones family went to a buffet dinner at a restaurant. The restaurant charges one price for adults and another price for children. The Smith family has two adults and three children, their bill was $40.50. The Jones family has three adults and one child, and their bill was $38.00. Determine the price of one adult and one child ticket.
8Answer:
5
Step-by-step explanation:
1. Perry ran 30 miles more than DeShawn last month. Perry ran 46 miles. Write and solve an ADDITION equation to represent how many miles DeShawn ran.
2. For weeding the garden, Jacob was given $12.50. Now he has $23.00. Write and solve an ADDITION equation to represent how much money Jacob had before he was paid.
3. Mary won 80 super bouncy balls playing hoops at the county fair. At school she gave one to every student in her math class. She only has 56 remaining. Write and solve a SUBTRACTION equation to represent how many bouncy balls she gave away.
4. After paying $9.00 for a pizza, Nora has $27.10. Write and solve a SUBTRACTION equation to represent how much money she started with.
5. Seven candy bars cost $12.25. Write and solve a MULTIPLICATION equation to represent the cost of one candy bar.
6. I was driving at 70 miles per hour and traveled 437.5 miles.
Write and solve a MULTIPLICATION equation to represent how many hours I traveled.
Scott and seven of his friends went out to eat.
7. They split the bill evenly. Each person paid $17.82. Write and solve a DIVISION equation to represent the total bill.
8. Kathryn and her best friend found some money under the couch. They split the money evenly, each getting $24.18. Write and solve a DIVISION equation to represent the amount of money found under the couch.
Answer:
30+46=76
Step-by-step explanation:
so you want to draw out a model and write the two numbers and add them.
True or False? If one of the angles of a triangle is obtuse, then the triangle is obtuse.
Answer:
True
Step-by-step explanation:
Image result for True or False? If one of the angles of a triangle is obtuse, then the triangle is obtuse.
In an obtuse triangle, if one angle measures more than 90°, then the sum of the remaining two angles is less than 90°. Here, the triangle ABC is an obtuse triangle, as ∠A measures more than 90 degrees. ... Hence, if one angle of the triangle is obtuse, then the other two angles with always be acute.
Answer:
True, as long as the other angles are acute !!
Step-by-step explanation:
I hope this helps !! :D
Help! I’ll mark brainly! I really need help don’t have much time ! Please help<3
solve this linear equation with HOW you did it please.
9k-5k=-32
PLEASE HELP ME WITH THIS FOR BRAINLIEST
Please Someone Help Me
Answer:
x=4 : y = -8
Step-by-step explanation: happy to help let me know if you have any more questions.
PLEASE ITS DUE IN 5 MINUTES I WILL MARK BRAINLIEST!
Answer: A. the first one wouldn't graph with the x^2 but with it I would say A. Hope this helps
PLS HELP WILL MARK BRAINLIEST !!!!!!
Which of the following variables is most commonly graphed on a line graph?
distance
time
speed
size
Answer:
If these are answer choices, i believe the correct answer is B, time.
Step-by-step explanation:
Answer:
It's Time
Step-by-step explanation:
The area of a triangle A is given as A =1/2 bh, where b is the base an h = height. (a) find h if A =30 and b=10
Answer:
h = 6
Step-by-step explanation:
Substitute the given to its corresponding places.
30 = [tex]\frac{1(10)h}{2}[/tex]
30 = 10h/2
Multiply both sides by two to remove the denominator.
2 [30 = 10h/2] 2
60 = 10h
Divide both sides by 10 to isolate h.
h = 6
To check, substitute everything to the original equation:
A = [tex]\frac{1(10)(6)}{2}[/tex]
A = 30 !
The length of a rectangle exceeds the breadth by 8 cm. Find the area of the rectangle, if its perimeter is 180 cm
Answer:
2009cm^2
Step-by-step explanation:
Given data
let the length be L
and the width be w
so
w= x
L=x+8
P= 180cm
P= 2L+2W
180= 2(x+8)+2(x)
180= 2x+16+2x
collect like terms
180= 4x+16
180-16= 4x
164= 4x
x= 164/4
x=41
W= 41cm
L= 41+8
L= 49cm
A= L*W
A=49*41
A=2009cm^2
Hence the area is 2009cm^2
2x2– 21x = 11 what would the x be
Answer:
x = -1/3
Step-by-step explanation:
How many points does a student need to score 70% on a 80 point test?
Answer: 56
Step-by-step explanation:
70÷100×80=56
Answer:
56
Step-by-step explanation:
Another way to write this question is "What percent of 80 is 70%."
So we would write a percent proportion:
x/80=70/100
To find x, we will do (80*70)/100 which is 5600/100 which is 56.
You could also use benchmark fractions:
10% of 80 is 8
10% * 7 = 70% so 8 * 7 also equals 70%
8 * 7 = 56
Hope this helped, let me know if you have any questions.
A chemist is using 329 milliliters of a solution of acid and water. If 13.4% of the solution is acid, how many milliliters of acid are there? Round your answer to
the nearest tenth.
I milliliters
х
5
?
Answer:
44.1mm
Step-by-step explanation:
Given
Total solution of acis nad water = 329mm
Percentage that is acid = 13.4%
Amount that is acid = 13.4% of 329
Amount that is acid = = 13.4/100 * 329
Amount that is acid = 13.4*3.29
Amount that is acid = 44.086
Hence the amount of acids there is 44.1mm
HELPPP
The school that Ryan goes to is selling tickets to a play. You can buy 2 senior citizen tickets and 4 child tickets for a total of $70. You can also buy 2 senior citizen tickets and 1 child ticket for a total of $31. What is the price each of one senior citizen ticket and one child ticket?
A) senior citizen ticket: $13, child ticket: $9B) senior citizen ticket: $6, child ticket: $7C) senior citizen ticket: $9, child ticket: $13D) senior citizen ticket: $13, child ticket: $14
Answer:
6 for senior and 7c for child
Step-by-step explanation:
*WILL GIVE BRAINLIEST*
Find the surface area of the rectangular prism:
Teacher resources - Surface area of prisms and cylinders page 1
A: 120 cm2
B: 12 cm2
C: 60 cm2
D: 94 cm2
joe sold half of her comic books, then she bought 18 more. She now has 36. With how many did she bigin?
Answer: Joe began with 36 books.
Step-by-step explanation:
x/2+18=36. 36+18=x. x/2-18=36.
When can we say that a function is continuous?
Question 6
Solve for x
4x = 10
A
X= 40
B
x = 2.5
С
x=4
D
x = 40
Answer:
B
Step-by-step explanation:
4x = 10
x = 10 / 4 = 2.5
150 grams decreased by 74% ?
Answer:
39
Step-by-step explanation:
multiple 159 by 74% them subtract
Tom is playing at the opposite corner of the playing field to his friend . If the playing field is 180m wide and Tom is 300m away from his friend, how long is the playing field
Answer:
240 m
Step-by-step explanation:
we can picture this as a right triangle
(180)^2 + (l)^2 = (300)^2
300 would be the diagonal of the triangle since it is at the opposite corner
180 would be the height/leg of the triangle
Determine the y-intercept of the line from the graph 3 2 1 -3 -2 -1 1 2 3 4 -2 <<
Answer:
Y-intercept is 0
Step-by-step explanation:
The line crosses at 0,0
x intercept is 0
Y intercept is 0
What is 36 divided by 1.5 in long division
Answer: 24
To calculate with long division when the divisor is a decimal, add zeroes in both the dividend and divisor. This means you get 360 ÷ 15.
From here, just do normal calculation and you get 24 as your answer.
5/6 times k = 1/6 what is K
Answer:
[tex] \frac{5}{6} k = \frac{1}{6} \\ \ \\ \ k = \frac{1}{6} \times \frac{6}{5} \\ \\ k= \frac{1}{5} [/tex]
Last Sunday 1,575 people visited the amusement park. 56% of the visitors were adults, 16% were teenagers, and 28% were children ages 12 and under. Find the number of adults, teenagers, and children that visited the part.
Answer:
Adults
= Percentage of adults * Total number of people who visited
= 56% * 1,575
= 882 adults
Teenagers
= Percentage of teenagers * Total number of people who visited
= 16% * 1,575
= 252 teenagers
Children
= 28% * 1,575
= 441 children
How do you graph this?
Answer:
You need more information to graaph this.
Step-by-step explanation:
Simplify: 5 + p > 3
GIVING BRAINLIST!!! PLEASE HELP!
Answer:
p>3-5
p>-2
Step-by-step explanation:
step 1= 5 will pass the greaterthan sign and it will be -ve
step 2= it will be (p>3-5) 3-5= -2
answer = p> -2
Answer:
The answer is p > -2
Step-by-step explanation:
Move all terms not containing p to the right side of the inequality.
~Hoped this helped~
WORLD PEACE EVERY WHERE
love,
compassion,
kindness,
responsibility,
humbleness,
reborn,
greatness,
success,
hopeful
, joy
Answer:
yes Amen and we also need Jesus
Step-by-step explanation:
Answer:
Yes
Step-by-step explanation:
That would solve so many problems
Grace bought 3 soccer balls for $14 each and 2 pairs of goalie gloves for $9 each. Write an expression for the total cost of the supplies. Then find the total cost. (LABEL)
Answer:
3(14)+2(9) is the equation
$60 is the total cost
Tell me if im right :)
Answer:
T=60
Step-by-step explanation: