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Statement-1 : The expression `n!(100 - n)!` is maximum when `n = 50`. Statement-2 : `.^(2n)C_(r)` is maximum when `r = n`.A. Statement `-1` is True, Statement -2 is True, Statement `-2` is a correct explanation for Statement `-1`B. Statement `-1` is True, Statement -2 is True, Statement `-2` is `NOT` a correct explanation for Statement `-1`C. Statement `-1` is True, Statement `-2` is FalseD. Statement `-1` is False, Statement `-2` is True |
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Answer» Correct Answer - D `n!(100 - n)! = (100!)/(.^(100)C_(n))` `.^(2n)C_(r)` is max when `r = n` `:. n!(100-n)! = (100!)/(.^(100)C_(n))` Hence `n!(100 - n)!` will be max. when `n = 50`. |
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