Assume that you have a bowl containing hard candies 50 cherr

Assume that you have a bowl containing hard candies: 50 cherry, 50 strawberry, 40 orange, 70 lemon, and 40 pineapple. Assuming that the pieces of each flavor are identical, how many handfuls of 15 are possible with at leaset one piece of each flavor? (answer using combinatorics)

Solution

handfuls of 15 are possible with at leaset one piece of each flavor = ¹⁴C₄ = 1001