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The number of ways of choosing triplet (...

The number of ways of choosing triplet `(x , y ,z)` such that `zgeqmax{x, y}a n dx ,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+2))C_2`

A

`""^(n+1)C_(3)+""^(n+2)C_(3)`

B

`(1)/(6)n(n+1)(2n+1)`

C

`1^(2)+2^(2)+…+n^(2)`

D

`2(""^(n+2)C_(3))-""^(n+1)C_(2)`

Text Solution

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B, C, D
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