I have 8 identical pieces of cherry candy and 7 identical pieces of melon candy. Find the number of ways I can distribute this candy to 4 children.
With no restrictions, 8 identical Cherry candy can be distibuted in:
[8 + 4 - 1] C [4 - 1] =11 C 3 = 165 ways
With no restrictions, 7 identical Melon candy can be distributed in:
[7 + 4 - 1] C [4 - 1] =10 C 3 =120 ways
165 + 120 =285 ways.
Isnt' this supposed to be 165*120=19800?
