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Q.

The coefficient of x6 in 1+x+x2+x3+x4+x56 is

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a

456

b

365

c

256

d

425

answer is A.

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Detailed Solution

1+x+x2+…x+x56=1-x61-x6=1-x66(1-x)-6 =1-C1 6x6+C2 6x12-...+C6 6x361+C1 6x+C2 7x2+....+C6 11x6+....∴ Coefficient of x6 is C6 11-C1 6=462-6=456

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