(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?

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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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?
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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