(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.
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(a) there are $n$ chairs in a row. find the number of ways of choosing $k$ of these chairs, so that...
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