Hi, I am new so if I do something wrong pls correct me. I have a problem to solve and I am a little confused. Here it is:

We have 10 red balls, 8 green balls and 6 blue balls. I must calculate the ways that all the balls can be shared to 3 discrete boys (without minding the order that the balls are given) so that each kid takes at least one ball of each colour.

After searching and studying I came to this conclusion:

with n=24 balls and k=3 boys :

(n+k-1)!/n!(k-1)!=325 but I am not so sure.

thank you a lot.