prove that total number of ways of selection of r points out of n points in a row such that no two of them are consecutive C(n-r+1,r).

prove that total number of ways of selection of r points out of n poin

1.	prove that total number of ways of selection of r points out of n points in a row such that no two of them are consecutive C(n-r+1,r).
Answer» Here, the total number of points is `n` and we have to select `r` points. So, the points left will be `n-r`. Between the remaining `n-r` points, there are total `n-r+1` places where we can select `r` points such that two points are consecutive. So, the number of ways doing this ` = C(n-r+1),r)`.

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prove that total number of ways of selection of r points out of n points in a row such that no two of them are consecutive C(n-r+1,r).

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