## anonymous 3 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.

1. 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

2. anonymous

sounds good to me anyway

3. razor99

hello u there