Quiz about Permutations and Combinations

Question 1

Permutation, combination, or neither?
Rob and Mary are planning trips to 9 countries this year. There are 13 countries they would like to visit. They are deciding which countries to skip.

Accepted Answer

combination

Answer

permutation

Answer

neither

Question 2

Permutation, combination, or neither?
The batting order for seven players on a 12 person team.

Accepted Answer

permutation

Answer

combination

Answer

neither

Question 3

Permutation, combination, or neither?
There are 45 applicants for three Computer Programmer job positions.

Accepted Answer

combination

Answer

permutation

Answer

neither

Question 4

Which of the following is an example of combination?

Accepted Answer

Choose 4 students in a class committee

Answer

Form a passcode with 4 digits

Answer

Students line up in a queue to assembly

Answer

Choose the chairperson, secretary and treasurer in a club

Question 5

Permutation, combination, or neither?
A team of 8 basketball players need to choose a co-captain and captain.

Accepted Answer

permutation

Answer

combination

Answer

neither

Question 6

Permutation, combination, or neither?
You have 4 framed portraits. How many ways can you arrange all 4 of them on the top of your bookshelf?

Accepted Answer

permutation

Answer

combination

Answer

neither

Question 7

What is the value of 8!

Accepted Answer

40320

Answer

36

Answer

362880

Answer

5040

Question 8

Picking two paint colors for your room.

Accepted Answer

Combination

Answer

Permutation

Answer

<p>Neither</p>

Question 9

Nate is on a 7-day vacation.  He plans to spend one day jet skiing and one day golfing.  How many ways can Nate schedule these 2 activities?

Accepted Answer

42

Answer

13

Answer

14

Question 10

Members of 6 different school organizations decorated floats for the homecoming parade.  How many different ways can first, second, and third prize be awarded?

Accepted Answer

120

Answer

18

Answer

36

Question 11

How many ways can you choose a manager and assistant from a 9-person task force?

Accepted Answer

72

Answer

81

Answer

18

Question 12

How would you solve?
From the 20 DVD's you purchased this past year, you plan to take five with you on vacation. How many different sets of five DVD's can you take?

Accepted Answer

Combination

Answer

Permutation

Answer

Factorial

Answer

MPC

Question 13

How many 2-digit numbers can you make using the digits 1, 2, 3, & 4 without repeating the digits?

Accepted Answer

12

Answer

90

Answer

100

Answer

24

Question 14

Find the number of possibilities:
A group of 25 people are going to run a race. The top 8 finishers advance to finals.

Accepted Answer

1,081,575

Answer

625

Answer

4.36 X 10¹⁰

Question 15

Find the number of possibilities:
A team of 17 softball players needs to choose three players to refill the water cooler.

Accepted Answer

680

Answer

272

Answer

4080

Question 16

How many ways can a stylist arrange 5 of 8 vases from left to right in a store display?

Accepted Answer

6720

Answer

672

Answer

40

Permutations and Combinations

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