Ann is shopping and has found 6 coats and 6 hats that she likes. (a) If Ann decides to buy one coat and one hat, how many different options does she have for which items she will buy

Ann will have 36 different options

Explanation:2

This can be solved using combination.

nCr = n! / (n-r) ! * r!

To buy one coat out of 6 coats, Ann has; 6C1 options.

6Ç1 = 6! / (6-1) ! * 1! = 6 options

To buy one hat out of 6 hats, Ann has; 6C1 options

6C1 = 6 options

If Ann decides to buy one coat and one hat, from 6 coats and 6 hats;

Number of options = 6C1 * 6C1 = 6*6 = 36 options.

Therefore, Ann has 36 different options.