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## Thursday, 11 August 2011

### Math GRE - #10

What is the coefficient of $x^3$ in the expansion of $(1+x)^3(2+x^2)^{10}$?

• $2^{14}$
• $31$
• $\dbinom{3}{1}+\dbinom{10}{1}$
• $\dbinom{3}{1}+2\dbinom{10}{1}$
• $\dbinom{3}{3}\dbinom{10}{1}2^9$

Solution :

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