Permutations and Combinations Assignment

Front

What is a permutation?

Back

A permutation is an arrangement of objects in a specific order. The order matters in permutations.

Front

What is a combination?

Back

A combination is a selection of objects where the order does not matter. It focuses on the group rather than the arrangement.

Front

How many ways can you arrange 10 books on a shelf?

Back

3,628,800

Front

If Robin has 5 different pairs of shoes and 6 different pairs of socks, how many combinations can she make?

Back

30

Front

Which of the following is an example of a combination? Choose 4 students in a class committee.

Back

Correct! This is a combination because the order of selection does not matter.

Front

What is the formula for permutations of n objects taken r at a time?

Back

The formula is P(n, r) = n! / (n - r)!.

Front

What is the formula for combinations of n objects taken r at a time?

Back

The formula is C(n, r) = n! / [r!(n - r)!].

Front

In how many ways can you select 3 city commissioners from 6 candidates?

Back

20

Front

What is the difference between permutations and combinations?

Back

Permutations consider the order of selection, while combinations do not.

Front

If you have 4 different books, how many ways can you choose 2 books?

Back

6 ways (C(4, 2) = 4! / [2!(4 - 2)!]).