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16 March, 12:19

If I have 7 button down shirts, 5 pairs of pants and 3 pairs of shoes that I can wear to work then how many different outfits can I wear on an individual day?

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  1. 16 March, 16:00
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    105 different outfits can wear on an individual day

    Solution:

    I have 7 button down shirts, 5 pairs of pants and 3 pairs of shoes that I can wear to work

    To find: Number of different outfits can I wear on an individual day

    First he has to decide on a pair of pants and he has 5 different choices

    For each of those choices he has a choice of 7 different button down shirts, so that gives him 5 x 7 = 35 different pant/shirt combinations

    For each of those 35 different pant/shirt combinations, he has 3 pairs of shoes he could select, so altogether he has 35 x 3 = 105 different outfits

    In short we can say,

    different outfits = 7 x 5 x 3 = 105

    So there 105 different outfits can wear on an individual day
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