Show that the sum, over the set of people at a party, ofthe number of people a person has shaken hands with, iseven. Assume that no one shakes his or her own hand.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.6: Permutations And Combinations
Problem 5SC: In how many ways can 5 people stand in a line if one person demands to be first?
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Show that the sum, over the set of people at a party, of
the number of people a person has shaken hands with, is
even. Assume that no one shakes his or her own hand.

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