Suppose a set of 8 numbers are selected from the set: {1; 2; 3; 4; 5; 6; 7; 8; 9; 10; 11; 12; 13; 14} Show that two of the selected numbers must sum to 15. (Hint: Use the Pigeonhole Principle)

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter9: Sequences, Probability And Counting Theory
Section9.5: Counting Principles
Problem 36SE: The number of 5-element subsets from a set containing n elements is equal to the number of 6-element...
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Suppose a set of 8 numbers are selected from the set:

{1; 2; 3; 4; 5; 6; 7; 8; 9; 10; 11; 12; 13; 14}

Show that two of the selected numbers must sum to 15.

(Hint: Use the Pigeonhole Principle)

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