Permutations and 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. It focuses on the group rather than the arrangement.

Front

How many ways can 3 prizes be awarded to 6 different organizations?

Back

120 ways (calculated as 6P3 = 6!/(6-3)!)

Front

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

Back

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

Front

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

Back

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

Front

Calculate 5!

Back

5! = 120.

Front

Calculate 8!

Back

8! = 40320.

Front

If there are 12 players and 7 are chosen for a batting order, is this a permutation or combination?

Back

This is a permutation because the order of players matters.

Front

If there are 45 applicants for 3 job positions, is this a permutation or combination?

Back

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

Front

What is the difference between permutations and combinations?

Back

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