find the number of ways m+n different objects can be divided into two (indistinguishable) subsets containing m and n objects, respectively. The textbook solution is  if m does not equal n: (m+n)!/(m!n!) if m equals n: (2m)!/(2!m!m!) Thanks!

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
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find the number of ways m+n different objects can be divided into two (indistinguishable) subsets containing m and n objects, respectively.

The textbook solution is 

if m does not equal n: (m+n)!/(m!n!)

if m equals n: (2m)!/(2!m!m!)

Thanks!

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