Problem 42781. How many ways to write a number

Pritom Kumar Mondal

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Given two positive numbers n and k, where n>=k. In how many ways can we write n as sum of k positive numbers. Same numbers but different orders are considered different.
Example
For n=5, k=2 the answer is 4.
 5 = 1 + 4
 5 = 2 + 3
 5 = 3 + 2
 5 = 4 + 1

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Last Solution submitted on Sep 28, 2026

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Anupam Agarwal on 22 Mar 2016

please correct the reference solution to com(x,k) instead of com(x)

Jihye Sofia Seo on 12 Feb 2017

Please correct test cases, the function should have 2 arguments.

Ramon Villamangca on 14 Dec 2021

Error message: Not enough input arguments.

Dyuman Joshi on 14 Dec 2021

The test suite has been corrected.

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