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There are "n" married couples at a path each person shakes hand with every person other than her or his spouse then number of handshakes is `f(n), (sum_(n=4)^(oo) 1/(f(n)))^(-1)`=? |
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Answer» Correct Answer - 6 `f(n)=.^(2n)C_(2)-n=(2n(2n-1))/2-n` `=n(2nn-1-1)=2n(n-1)` `1/(f(n))=1/2.1/(n(n-1))=1/2 [1/(n-1)-1/n]` `1/(f(4))=1/2[1/3-1/4]` `impliessum_(n=4)^(oo) 1/(f(n))=1/2(1/3)=1/6` |
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