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Question

If the coefficient of 4th and 13th terms in the expansion of (x2+1x)n be equal then find the term which is independent of x.

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Solution

nC3=nC12n=15
(x2+1x)15. We have to find the term independent of x . It will be 11th term
T11=15C10(x2)5(1x)10=15C5=3003

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