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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}`isa. `^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_(2)+.^(n+2)C_(2)`B. `1/6n(n+1)(2n+1)`C. `1^(2)+2^(2)+…+n^(2)`D. `2^(n+2)C_(3)- .^(n+1)C_(2)` |
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Answer» Correct Answer - A::B::C::D If `z=1` so `x,y=1` `xyrarr{1,2}` number of ways `=2^(2)` `z=3` `x,yepsilon{1,2,3}` number of ways `=3^(2)` Similarly `n^(2)` `1^(2)+2^(2)……….n^(2)` |
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