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There are 100 differents books in a self...

There are 100 differents books in a self. Number of ways in which 3 books can be selected so that no two of which are neighbours is `98C_k` is

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`a 1 b 2 c 3 d (age0, bge1, cge1, dge0)`
a+b+c+d=97
a 1 b' 2 c' 3 d (age0, b'ge0, c'ge0, dge0) `a+b+c+d=95`
Number of ways= `.^(95+4-1)C_(4-1)`
=`98C_3`
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