Which of the following statements is correct ?

Options

A. `100!+1` is not divisible by any natural number between `2` and `100`.
B. If `n` objects in a row, then the number of ways of selecting two of these objects such that they are not next to each other is `.^(n-1)C_(2)`.
C. The number of ways in which we can arrange 20 white identical and 20 black identical balls in a row, so that neighbouring balls are of different colors is 2
D. none of these

Explanation

NA