## denobop Group Title 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. 2 years ago 2 years ago

1. satellite73

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

sounds good to me anyway

3. razor99

hello u there