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Q.

The coefficient of x7 in the expression 1+x10+x1+x9+x21+x8+......+x10 is-

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a

330

b

210

c

420

d

120

answer is A.

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Detailed Solution

Given series = 1+x101−x1+x111−x1+x =1+x101+x11−x111+x11×11+x =1+x11−x11Coefficient of x7 is 11C7=11C4=330

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