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The coefficient of x10 in the expansion of (1 + x)2 (1 + x2)3 (1 + x3)4 is equal to -

1. (A) 52
2. (B) 44
3. (C) 50
4. (D) 56

Correct answer: (A) 52

Solution

Expanding (1+x)^2 (1+x^2)^3 (1+x^3)^4 and collecting the x^10 term gives coefficient 52. So the answer is 52 (option A).

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