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denobop

  • 2 years ago

A cupboard contains 5 pairs of shoes, each of a different style. How many ways are there to select 4 of the shoes from the cupboard so that the selection contains exactly one matching pair? Note that each pair of shoes consists of distinguishable left and right foot.

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  1. satellite73
    • 2 years ago
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    there are 5 ways to choose the matching pair then once the matching pair is chosen, you have 8 other shoes to choose from finally you have 6 shoes to choose from (because you cannot choose the match to the second shoe) so it is \(5\times 8\times 6\) by the counting principle, except that you have divide by 2 because the two odd shoes can be chosen in any order to i believe your answer is 120

  2. satellite73
    • 2 years ago
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    sounds good to me anyway

  3. razor99
    • 2 years ago
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    hello u there

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