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17 March, 14:27

How many combination can be made with 5 shirt, 3 skirts & 7 sandals?

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  1. 17 March, 17:18
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    There are 105 ways.

    Let's think about it in combinatoric form.

    We have 5 ways to choose 1 shirt.

    So the number of ways to choose a shirt is 5C1 = 5

    We also have 3 ways to choose 1 skirt.

    Number of ways is: 3C1 = 3

    We have 7 ways to choose 1 sandal.

    Number of ways is: 7C1 = 7

    We want them simultaneously (ie we want to have different shirt, skirt and sandal combos), so we multiply the ways to form 105 different ways.
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