(4) Suppose 6 identical apples are to be shared among 3 (non- identical) children - it is not necessary that each child receives the same number of apples. (a) In how many ways can this be done? (b) If it is required that every child receives at least one apple? (c) If at most one child may receive zero apples?
(4) Suppose 6 identical apples are to be shared among 3 (non- identical) children - it is not necessary that each child receives the same number of apples. (a) In how many ways can this be done? (b) If it is required that every child receives at least one apple? (c) If at most one child may receive zero apples?
Chapter8: Sequences, Series,and Probability
Section: Chapter Questions
Problem 40CT: There are 10 applicants for three sales positions at a department store. All of the applicants are...
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![(4) Suppose 6 identical apples are to be shared among 3 (non-
identical) children - it is not necessary that each child receives
the same number of apples.
(a) In how many ways can this be done?
(b) If it is required that every child receives at least one apple?
(c) If at most one child may receive zero apples?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F69cce4ac-4bf6-4e6b-8636-bf160e045b58%2F83bf1869-88dd-4a8a-add2-91e0250b3e82%2Ft2ge4b_processed.jpeg&w=3840&q=75)
Transcribed Image Text:(4) Suppose 6 identical apples are to be shared among 3 (non-
identical) children - it is not necessary that each child receives
the same number of apples.
(a) In how many ways can this be done?
(b) If it is required that every child receives at least one apple?
(c) If at most one child may receive zero apples?
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