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21 August, 07:00

A cupboard contains 7 pairs of shoes, each of a different style. How many ways are there to select 5 of the shoes from the cupboard so that the selection contains exactly one matching pair? Note that each pair of shoes consists of a distinguishable left and right foot.

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  1. 21 August, 10:39
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    The number of ways is

    (7 5) (2^5) = 21*32 = 672
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