<p>Find the number of ways <img alt="$66$" height="12" src="https://latex.artofproblemsolving.com/2/d/4/2d40f3652c1962e98ce050a88c04ed37997c67df.png" width="17" /> identical coins can be separated into three nonempty piles so that there are fewer coins in the first pile than in the second pile and fewer coins in the second pile than in the third pile.</p>

Question No: 379

Find the number of ways $66$ identical coins can be separated into three nonempty piles so that there are fewer coins in the first pile than in the second pile and fewer coins in the second pile than in the third pile.

Editorial

Tags: Combinatorics

Question Details