# For which positive integer n will the equations (1) x1 + x2 + x3 + ... + x19 = n, and (2) y1 + y2 + y3 + ... + y64 = n have the same number of positive integer

For which positive integer n will the equations

(1) x1 + x2 + x3 + ... + x19 = n, and

(2) y1 + y2 + y3 + ... + y64 = n

have the same number of positive integer solutions?

(1) x1 + x2 + x3 + ... + x19 = n, and

(2) y1 + y2 + y3 + ... + y64 = n

have the same number of positive integer solutions?

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**Related Book For**

## Discrete and Combinatorial Mathematics An Applied Introduction

**ISBN:** 978-0201726343

5th edition

**Authors:** Ralph P. Grimaldi

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