Permutations vs. Combinations

Presentation

•

Mathematics

•

11th Grade

•

Practice Problem

•

Easy

Lisa Taylor

Used 4+ times

FREE Resource

3 Slides • 23 Questions

Example

For example, suppose we are arranging the letters A, B and C.
In a permutation, the arrangement ABC and ACB are different.
But, in a combination, the arrangements ABC and ACB are the same because the order is not important.

Multiple Choice

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.

combination

permutation

neither

Dropdown

Determine whether the question would be a permutation or combination: Five students from 90 will be selected to count ballots for the Class President election. How many groups of 5 students could be selected to count ballots?

Match

Decide whether you'd solve using a Permutation, Combination, or simply need a single factorial, then match the cards accordingly.

Permutation

Combination

Factorial

A lock has a code of 3 numbers between 1 and 15. How many codes can be created if no numbers repeat

The principal would like to assemble a committee of 8 students from the 12-member student council.

Ribbons are being awarded for 1st through 5th place to the top 5 dogs in a dog show.

Multiple Choice

True or False: the order DOES matter in a permutation.

True

False

Drag and Drop

Determine whether the following scenarios are a permutation or a combination:

Drag these tiles and drop them in the correct blank above

Permutation

Combination

Multiple Choice

True or False: the order DOES matter in a combination.

True

False

Multiple Choice

Picking four players to play a pickup game of basketball with no positions.

Permutation

Combination

Multiple Choice

Choosing 3 toppings for your sundae out of a list of 15.

Permutation

Combination

Neither

Multiple Choice

What does ₁₀P₅mean?

Permutations with 5 choices and 10 positions

Permutations with 10 choices and 5 positions

Permutations with 5 numbers and 10 operations

Permutations with 5 hot dogs and 10 drinks

Multiple Choice

How many ways can you arrange 7 books on a shelf?

343

5,040

Multiple Choice

There are 18 people running in a cross country race. How many possible ways are there to place the runners in first, second, and third?

324

4,896

816

Multiple Choice

Sarah plays softball over the summer. If there are 10 players on the team, how many ways can the coach make a batting order that includes all players?

3628800

100

1814400

Math Response

In the orchestra, there are eight violinists in the front row. How many different ways can they be seated?

Type answer here

Deg^°

Rad

Multiple Choice

The ski club with ten members is to choose three officers for captain, co-captain and secretary. How many ways can those offices be filled?

720

120

10!

Multiple Choice

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

100

Multiple Choice

A disc jockey has to choose three songs for the last few minutes of his evening show. If there are nine songs that he feels are appropriate for that time slot, then how many ways can he choose and arrange to play three of those nine songs?

504

Multiple Choice

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

Multiple Choice

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

272

4080

680

Multiple Choice

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

672

6720

Multiple Choice

Runners finishing top three in a race to qualify for the Olympics. The order they finish in is irrelevant as long as they are top three.

Permutation

Combination

Multiple Choice

Arranging letters to make a password.

Permutation

Combination

Fill in the Blanks

A club with 10 members is to choose four officers -- President, Vice-President, Treasurer, and Secretary. If each office is to be held by one person and no person can hold more than one office, in how many ways can those offices be filled?

Multiple Choice

Determine the number of 4-letter arrangements that can be made using the word RHOMBUS.

5040

840

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