(a) there are $n$ chairs in a row. find the number of ways of choosing $k$ of these chairs, so that no two chosen chairs are adjacent. (b) there are 10 chairs in a circle, labelled from 1 to 10. find the number of ways of choosing 3 of these chairs, so that no two chosen chairs are adjacent. (c) there are $n$ chairs in a circle, labelled from 1 to $n.$ find the number of ways of choosing $k$ of these chairs, so that no two chosen chairs are adjacent.

n

explanation:

employees use applications that are uniformed so that they are able to look over them more quickly because the do not want to spend a long time reading through the applications so they get all the infomation that the are looking for on the application they made so the do not have to read about unnessacary infomaton. so to make it simple it them find the person that they want to hirer faster with out wasting time.

i hope this i spelt things wrong i believe but this is why

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-lavira: )