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STATEMENT - 1 : If `.^(2n+1)C_(1)` + `.^(2n+1)C_(2)+………+ .^(2n+1)C_(n)= 4095`, then `n = 7` STATEMENT - 2 : `.^(n)C_(r )= .^(n)C_(n-r)` where `n epsilon N, r epsilon W and n ge r`A. STATEMENT - 1 is True, STATEMENT- 2 is True , STATEMENT - 2 is a correct explanation for STATEMENT - 1B. STATEMENT - 1 is True, STATEMENT - 2 is True , STATEMENT - 2 is NOT a correct explanation for STATEMENT - 1C. STATEMENT -1 is True, STATEMENT - 2 is FalseD. STATEMENT -1 is False, STATEMENT - 2 is True |
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Answer» Correct Answer - D Statement -1 : If `.^(2n+1)C_(1)+……..` Statement -1 : `.^(2n-1)C_(1)+^(2n+1)C_(2)+…..+.^(2n+1)C_(n)= (1)/(2) (.^(2n+1)C_(1)+^(2n+1)C_(2)+…..+ .^(2n+1)C_(n)+^(2n-1)C_(n-1)+…….+ .^(2n+1)C_(2n)) = (1)/(2)` `(2^(2n-1)-2) = 2^(2n) -1 = 4095` `:. 4^(n) = 4096 :. n = 6` `:.` statement is false Statement - 2 is true |
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