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Expansion of (x+y)^2

In the expans...

Question

In the expansion of $(1 + x)^{2} (1 + y)^{3} (1 + z)^{4} (1 + w)^{5}$ ,the sum of coefficient of the term of degree 12 is k then the value of $\frac{k}{13}$ is ___

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Solution

Coefficient of $x^{12} i n (1 + x)^{14} =^{14} C_{12} = 91$

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