On Halloween, 10 identical apples are distributed to 7 children. a. How many distributions are possible? b. How many distributions are possible if each child is to receive at least 1 apple?

Kiana Arias

Kiana Arias

Answered question

2022-09-04

On Halloween, 10 identical apples are distributed to 7 children. a. How many distributions are possible? b. How many distributions are possible if each child is to receive at least 1 apple?

Answer & Explanation

Mekhi Parker

Mekhi Parker

Beginner2022-09-05Added 18 answers

The number of combinations of r objects chosen from a set of nn distinct objects (with repetition allowed) is
C(r+n-1, r)
a, C(16,10)=8008 (n=7, r=10)
b. C(9,3)=84 (7 apples are already distributed, so we only need to distribute the remaining 3 apples (r=3) among the 7 children (n=7))
Result:
a) 8,008
b) 84

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