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in Algebra by (51.4k points)

Let n and k be positive integers such that n ≥ k+1C2. The number of solutions (x1, x2,....xk); x1  ≥ 1 ≥ x2 ≥ 2,.......xk ≥ k all integers satisfying x1 + x2 +...+ xk = n is

a. \(^{n-\frac k2}C_k\)

b. \(^{n-1-\frac k2}C_k\)

c. \(^{n-1-\frac k2}C_{k-1}\)

d. \(^{n+1-\frac k2}C_{k-1}\)

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