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Discrete Mathematics | 1st Edition | ISBN: 9781577667308 | Authors: Gary Chartrand, Ping Zhang
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Let B be a set with

Chapter 8, Problem 16

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QUESTION:

Let B be a set with |B| = k N. If, for every function from a set A to B, there must be at least k elements of A having the same image in B, then what is the minimum possible cardinality of A?

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QUESTION:

Let B be a set with |B| = k N. If, for every function from a set A to B, there must be at least k elements of A having the same image in B, then what is the minimum possible cardinality of A?

ANSWER:

Problem 16
Let B be a set with  If, for every function from a set A to B, there must be at least k elements of A having the same image in B, then what is the minimum possible cardinality of A?


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Cardinality of a set can be defined as the number of elements in a set. For example:  then A has a cardinality of 3 i.e, 

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