10 Different People order 3 donuts each, chosen from 5 types of donuts. At least one person chooses 3 donuts of the same type for each of the 5 types. How many ways are there to do this such that:  a) Two or more people may choose the same 3 donut collection. b) Each person must choose a different collection of 3 donuts.

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Discrete Mathematics

10 Different People order 3 donuts each, chosen from 5 types of donuts. At least one person chooses 3 donuts of the same type for each of the 5 types. How many ways are there to do this such that: 

a) Two or more people may choose the same 3 donut collection.

b) Each person must choose a different collection of 3 donuts.

 

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