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Let n and k be positive such that n leq...

Let `n and k` be positive such that `n leq (k(k+1))/2`.The number of solutions `(x_1, x_2,.....x_k), x_1 leq 1, x_2 leq 2, ........,x_k leq k`, all integers, satisfying `x_1 +x_2+.....+x_k = n`, is .......

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To solve the problem, we need to find the number of integer solutions to the equation: \[ x_1 + x_2 + \ldots + x_k = n \] with the constraints: - \( x_1 \leq 1 \) - \( x_2 \leq 2 \) ...
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