Question

How many outfits can be made with 40 shirts and 15 pairs of pants

Answer 1

600

Explanation:

Pair 1 of pants goes with 40 shirts

Pair 2 of pants goes with 40 shirts

Pair 3 of pants goes with 40 shirts

Pair 4 of pants goes with 40 shirts

Pair 5 of pants goes with 40 shirts

Pair 6 of pants goes with 40 shirts

Pair 7 of pants goes with 40 shirts

Pair 8 of pants goes with 40 shirts

Pair 9 of pants goes with 40 shirts

Pair 10 of pants goes with 40 shirts

Pair 11 of pants goes with 40 shirts

Pair 12 of pants goes with 40 shirts

Pair 13 of pants goes with 40 shirts

Pair 14 of pants goes with 40 shirts

Pair 15 of pants goes with 40 shirts

Add up everything (not including the 1,2,3,4,5,...14,15 pairs of pants because each pair of pants goes with 40 different shirts so u just add up all the 40's) and you would get 600 outfits.

Another simple way of doing this would just be multiplying 40x15

Answer 2

600

Explanation:

So I'm assuming an outfit is considered one shirt, and one pair of pants... But anyways, this can be expressed in a graph. So for each shirt, there are going to be 15 possible pants you can chose. And this goes for each shirt. So in other words you're simply adding up 15, 40 amount of times. Or 15 * 40, which is 600. I attached an image that illustrates this graph. You can also think of it in terms of choosing one of 15 pants and then for each pant, there are 40 possible shirts to choose from. This is essentially adding up 40, 15 times, or in other words 40 * 15, which is going to get you the same result. But in my diagram I used it in terms of choosing a shirt first.