12/2 bell-ringer

Front

What is a combination?

Back

A selection of items where the order does not matter.

Front

What is a permutation?

Back

An arrangement of items where the order does matter.

Front

How many different combinations can be made from 4 representatives chosen from a group of 10?

Back

210 (using the combination formula C(n, r) = n! / (r!(n-r)!)).

Front

If a race has 3 positions (1st, 2nd, 3rd), how many permutations are there for 5 runners?

Back

60 (5P3 = 5! / (5-3)! = 60).

Front

What is the formula for combinations?

Back

C(n, r) = n! / (r!(n-r)!) where n is the total number of items and r is the number of items to choose.

Front

What is the formula for permutations?

Back

P(n, r) = n! / (n-r)! where n is the total number of items and r is the number of items to arrange.

Front

In how many ways can you arrange 4 books on a shelf?

Back

24 (4! = 4 x 3 x 2 x 1 = 24).

Front

If you have 3 different colors of paint and want to choose 2, how many combinations can you make?

Back

3 (C(3, 2) = 3).

Front

What is the difference between a combination and a permutation?

Back

A combination does not consider the order of selection, while a permutation does.

Front

How many different outfits can be made with 3 shirts and 2 pairs of pants?

Back

6 (3 shirts x 2 pants = 6 outfits).