James has 3 hats, 2 pairs of shorts, and 5 shirts to chose from. If he wears exactly 1 of each item, how many different combinat

Question

Maksim231197 [3]

3 years ago

12

James has 3 hats, 2 pairs of shorts, and 5 shirts to chose from. If he wears exactly 1 of each item, how many different combinat

ions (1 hat, 1 shirt, and 1 pair of shorts) can he choose to wear?

Mathematics

1 answer:

Dmitriy789 [7] · Answer 1 · 2022-04-29T13:23:36+03:00

For each of the 3 choices of hat there are 2 choices of shorts. Therefore there are 3 * 2 combinations of hat and shorts. Each of these 3 * 2 combinations of hat and shorts can be combined with each of the 5 choices of shirt.
Therefore the number of combinations of 1 hat, 1 shirt and 1 pair of shorts is given by:
$3\times2\times5=30\ different\ combinations.$