In how many ways can we distribute 13 pieces of identical candy to 5 kids, if the two youngest kids are twins and insist on receiving at least four pieces each?

 Jun 3, 2024

The youngest kids both get 4 pieces, so we subtract eight pieces from the total and continue, ignoring this. There are 5 kids and 5 pieces. Each piece of candy can go to each kid and has 5 choices. If each piece has 5 options, then there are 5*5*5*5*5, or 5^5, ways to distribute the candy. 5^5 = \(\boxed{3125}\), which is the answer.

 Jun 3, 2024

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