AnswersProbability and Statistics 82974243 2026-2027 LEROP 9W1Permutations and Combinations

Permutations and Combinations Answers

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1
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Evaluate 12P3.

Answer:

1320

2
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Evaluate 12C3.

Answer:

220

3

Which would you use to find the number of ways the train could be made up?

A
Option
B
Option
C
Option
D
Option
4

How many ways can the train be made up?

Answer:

4151347200

5

You volunteer to help drive people home from an event. There are 18 people who need rides, but you can only fit 7 of them in your vehicle. How many different groups of 7 people can you drive?

A
5,040
B
31,824
C
22,913,280
D
160,392,960
6

Select all of the following problem situations that involve permutations.

A
How many ways can you arrange 4 of the letters of the word SOLVE if no letter can be used more than once?
B
There are 75 different varieties of cereal at the store. How many ways can you choose 3 different varieties?
C
There are 9 books on your summer reading list. How many ways can you choose 3 to read?
D
There are 8 schools competing in the final round of the national swim relay. How many ways can the gold, silver, and bronze medals be awarded?
E
How many 4-digit access codes are possible using the numbers 1 through 6 if each number can only be used once?
7

Which expression can you use to find the number of ways the teacher can choose 5 girls to present their reports on Monday and 5 boys to present their reports on Tuesday?

A
Option
B
Option
C
Option
D
Option
8

How many ways can the teacher choose 5 girls to present their reports on Monday and 5 boys to present their reports on Tuesday?

Answer:

6012006

9

There are 10 people waiting on standby at an airport to get on the next flight when 2 seats open up. One of the seats is in first class, and the other is in coach. What error is made in the work shown below to calculate the number of ways to choose the passengers to fill the seats?

Question illustration
A
The correct formula for was not used.
B
There is a multiplication error in the numerator.
C
The solution is for combinations, but the situation calls for permutations.
D
8! was incorrectly divided out of the numerator and the denominator.
10

Fifty people enter a contest in which three identical prizes will be awarded. In how many different ways can the prizes be awarded to the entrants? Explain how you would solve the problem.

Answer:

19,600 different ways

11

Which of the following did you include in your response?

A
Combinations would be used here because the three prizes are the same.
B
Because you cannot distinguish between the prizes, the order that the winners are picked is not important.
C
Use the combination formula, with n = 50 and r = 3.

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