# Math Help - partitions and distributions

1. ## partitions and distributions

How many ways are there to pick 10 balls from large piles of identical red, green and blue balls, plus one pink ball, one black ball, and one yellow ball?

2. Originally Posted by sbankica
How many ways are there to pick 10 balls from large piles of identical red, green and blue balls, plus one pink ball, one black ball, and one yellow ball?
Here what you will find in 'back-of-the-book'.
$\sum\limits_{k = 0}^3 {\binom{3}{k}\binom{12-k}{2}}
$