InterviewSolution
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InterviewSolution
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If the coefficients of `a^(m) and a^(n)` in the expansion of `(1+a)^(m+n)` are `alpha and beta` then which one of the following is correct ?A. `alpha = 2 beta`B. `alpha = beta`C. `2 alpha = beta`D. `alpha = (m + n)beta` |
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Answer» Correct Answer - B `(1+a_^(m+n)` `alpha` = coefficient of `a^(m)=.^(m+n)C_(m)` `beta` = coefficient of `a^(n) = .^(m+n)C_(n)` We know, `.^(n)C_(r)=.^(n)C_(n-r)` `therefore beta =.^(m+n)C_(n)=.^(m+n)C_(m+n-n)=.^(m+n)C_(m)=alpha` `therefore` alpha = beta` |
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