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a.(1/33)*sigma(n=1 to n=16) {(4*n^4)/((4*n^2)-1)} = ? b.sigma(k=0 to k=n){(2^k)*(2nCk)} = ?

a.(1/33)*sigma(n=1 to n=16) {(4*n^4)/((4*n^2)-1)} = ?


b.sigma(k=0 to k=n){(2^k)*(2nCk)} = ?


 

Grade:12

1 Answers

SAGAR SINGH - IIT DELHI
879 Points
11 years ago

Dear student,

Make use of these important concepts,

(a)  Number of combinations of ‘n’ different things taken ‘r’ at a time, when ‘p’ particular things are always included = n-pCr-p.

(b)  Number of combination of ‘n’ different things, taken ‘r’ at a time, when ‘p’ particular things are always to be excluded = n-pCr

 

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Sagar Singh

B.Tech, IIT Delhi

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