Question

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

Answer 1

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.