MathDB

32

Part of 1979 IMO Longlists

Problems(1)

Number of solutions for |x_1| + |x_2| +...+ |x_k| = n

Source: ILL 1979-32

6/2/2011
Let n,k≥1n, k \ge 1 be natural numbers. Find the number A(n,k)A(n, k) of solutions in integers of the equation ∣x1∣+∣x2∣+⋯+∣xk∣=n|x_1| + |x_2| +\cdots + |x_k| = n
combinatorics unsolvedcombinatorics