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(a) How many ways are there to select a handful of 6 jellybeans from a jar that contains 5 different flavors? (b) How many ways can you distribute 5 identical lollipops to 6 kids?

(a) How many ways are there to select a handful of 6 jellybeans from a jar that contains 5 different flavors? (b) How many ways can you distribute 5 identical lollipops to 6 kids?

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Each of the counting problems below can be solved with stars and bars. For each, say what outcome the diagram ***| * || **| represents, if there are the correct number of stars and bars for the problem. Otherwise, say why the diagram does not represent any outcome, and what a correct diagram would look like. (a) How many ways are there to select a handful of 6 jellybeans from a jar that contains 5 different flavors? (b) How many ways can you distribute 5 identical lollipops to 6 kids? (c) How many 6-letter words can you make using the 5 vowels in alphabetical order? (d) How many solutions are there to the equation x1+x2+x3+x4 = 6.
Transcribed Image Text:Each of the counting problems below can be solved with stars and bars. For each, say what outcome the diagram ***| * || **| represents, if there are the correct number of stars and bars for the problem. Otherwise, say why the diagram does not represent any outcome, and what a correct diagram would look like. (a) How many ways are there to select a handful of 6 jellybeans from a jar that contains 5 different flavors? (b) How many ways can you distribute 5 identical lollipops to 6 kids? (c) How many 6-letter words can you make using the 5 vowels in alphabetical order? (d) How many solutions are there to the equation x1+x2+x3+x4 = 6.
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