A doll’s wardrobe consists of 40 possible outfits consisting of a shirt, pants, and a pair of shoes. If there are 5 shirts and 2 pairs of shoes, how many pairs of pants are in the doll’s wardrobe?
Answers
I can wear five different shirts, for each shirt, I can have any of four different pants.
That’s 5*4=20 outfits.
But I can wear two shirts, I often do. For each of five shirts worn underneath, there are four shirts I can wear over that, so there are twenty shirt pairings, and again, four different pants to wear with each pair, that’s 20*4=80 + 20 = 100 outfits with one OR two shirts.
I can also go shirtless, again four different ways. 104
I’m going to ignore the pantless options, and the three shirts options, and the two pairs of pants options, etc. Mathematically they are similar, and add even more options, but I don’t think they are realistically included in the “outfits” I’m likely to put together.
I’ve also ignored underpants, hats, ties, shoes, socks, and the numerous other variables, I’m only commenting on the actual materials in the question. Suffice it to say the number of outfits that utilize those elements could end up numbering in the millions.But if this is a homework question, they probably mean the pedestrian 20 outfit answer.
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Step-by-step explanation:
5+2+p =40
6+p=40
p=40-6
p=34.