Binomial Theorem 1 Question 23

25. The coefficient of x4 in x23x210 is

(1983, 1M)

(a) 405256

(b) 504259

(c) 450263

(d) None of these

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Solution:

  1. The general term in x23x210 is

tr+1=(1)r10Crx210r3x2r=(1)r10Cr3r210rx103r

For coefficient of x4, we put 103r=4

3r=6r=2

Coefficient of x4 in x23x210=(1)210C23228

=45×9256=405256



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