Asked by Cathy

how many outfits can be made from 5 shirts, 6 slacks, 7 ties?
I never understand how to do this type of problem.

Answers

Answered by freddy
5x6x7=210 outfits
Answered by Reiny
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?

Answered by Guido
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.

Answered by Crissy
Oh,I get it

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