Algebra 2 9.5 Permutations Vs Combinations

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.

Front

In how many ways can 3 runners finish in a race (1st, 2nd, 3rd)?

Back

This is a permutation problem. The number of ways is calculated as 3! = 6.

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 value of 5! (5 factorial)?

Back

5! = 5 × 4 × 3 × 2 × 1 = 120.

Front

If you have 4 books and want to arrange them on a shelf, how many arrangements are possible?

Back

This is a permutation problem. The number of arrangements is 4! = 24.

Front

How many ways can you choose 2 students from a group of 5?

Back

This is a combination problem. The number of ways is C(5, 2) = 10.

Front

What is the difference between permutations and combinations?

Back

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

Front

If a student council has 3 positions (President, Vice President, Treasurer), how are they selected?

Back

This is a permutation problem because the order of positions matters.

Front

What is the value of 3! (3 factorial)?

Back

3! = 3 × 2 × 1 = 6.