How many combinations?

Question

Emily has 21 dimes. She places them in three piles, with an odd nimber of dimes in each pile. In how many different ways can she accomplish this?

Answer 1

1 1 19             3 3 15             5 5 11         777

1 3 17             3 5 13             5 7 9

1 5 15             3 7 11             5 9 7

1 7 13             3 9 9

1 9 11

 

She can accomplish this in thirteen different ways without repeating herself ( as long as order does not make a difference).