help please

This can be calculated using the formula for the number of ways to distribute n distinguishable objects into r indistinguishable boxes, which is: n+r-1 choose r. In this case, n = 5 and r = 3, so the formula becomes: 5+3-1 choose 3 = 7 choose 3 = 35.

Balls are DISTINCT and boxes are IDENTICAL:

sumfor(k, 0, 3, (5 nCr k)) ==26 - with no restrictions.

Source:  https://en.wikipedia.org/wiki/Twelvefold_way

{See the table at the very bottom of the page - item # 1]