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21 September, 23:22

A cupboard contains 8 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 September, 23:32
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    The number of ways is

    8 (7 4) (2^4) = 8*35*16=4480
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