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If `m, n, r, in N` then `.^(m)C_(0).^(n)C_(r) + .^(m)C_(1).^(n)C_(r-1)+"…….."+.^(m)C_(r).^(n)C_(0)` `=` coefficient of `x^(r)` in `(1+x)^(m)(1+x)^(n)` `=` coefficient of `x^(f)` in `(1+x)^(m+n)` The value of r for which `S = .^(20)C_(r.).^(10)C_(0)+.^(20)C_(r-1).^(10)C_(1)+"........".^(20)C_(0).^(10)C_(r)` is maximum can not beA. `7`B. `8`C. `10`D. `15` |
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Answer» Correct Answer - A::B::C `S = .^(30)C_(r)`, which is maximum for `r = 15` |
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