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The number of ways of choosing triplet (...

The number of ways of choosing triplet `(x , y ,z)` such that `zgtmax{x, y}` and `x ,y ,z in {1,2,.......... n, n+1}` is `(A)` `.^n+1C_3+^(n+2)C_3` `(B)``n(n+1)(2n+1)//6` `(C)``1^2+2^2+..............+n^2` `(D)` `2(.^(n+2)C_3)-(.^(n+1)C_2)`

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