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Q.The number of non-negative integer solutions to $x_1 + x_2 + \cdots + x_7 = 20$ with each $x_i \le 5$ is equal to the coefficient of $x^{20}$ in

a

(1 + x + \cdots + x^5)^7

b

(1 - x^6)^7 (1 - x)^{-7}

c

both (a) and (b)

d

neither

Correct Answer: Option C

The correct solution involves applying the fundamental concept to derive the final value step by step...

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