anonymous
  • anonymous
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.
Mathematics
chestercat
  • chestercat
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anonymous
  • anonymous
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
anonymous
  • anonymous
sounds good to me anyway
razor99
  • razor99
hello u there

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