how many outfits can be made from 5 shirts, 6 slacks, 7 ties?

Question

I never understand how to do this type of problem.

Answer 1

5x6x7=210 outfits

Answer 2

think of it this way:

You have 5 shirts, so there would be 5 ways to choose a shirt.
Now for each of those ways there would be 6 ways to pick a pair of pants.

sofar we would have

S1P1,S1P2,..,S1P6,S2P1,S2P2,...,S2P6,..S5P1,...S5P6

Wouldn't that be 30 ways for the shirts and pants? (or 5*6)

Now for each of the 30 ways above you could pick 7 different ties.

So that is why we have 5*6*7 or 210 like Freddy told you.

Could you tell me how many ways there would be to pick an outfit if to wear no tie would be an additonal option?

Answer 3

What we have here is a question from Statistics called Permutations.

A permutation is an ordered arrangement of r objects chosen from n objects.

Solution:

5 shirts x 6 slacks x 7 ties = 210 outfits can be made.

Answer 4

Oh,I get it