number of terms in multinomial exapansion
Posted: Wed Sep 03, 2014 11:20 pm
Determine the number of terms in the expansion of $(a_1+a_2+a_3+....+a_n)^m$ where $m,n$ are positive integers.
The expansion is homogenous of degree \(m\).
The answer is \(\dbinom{m+n-1}{n-1}=\dbinom{m+n-1}{m}\).