How many numbers must be selected from the set {20,30,40,50,60,70,80} to guarantee that at least one pair of these numbers add up to 110? 2) Three parties are running for Bangladesh’s upcoming gubernatorial election. There are 5,00,500 people who vote. What is the minimum number of votes needed for any party to win the election?
How many numbers must be selected from the set {20,30,40,50,60,70,80} to guarantee that at least one pair of these numbers add up to 110? 2) Three parties are running for Bangladesh’s upcoming gubernatorial election. There are 5,00,500 people who vote. What is the minimum number of votes needed for any party to win the election?
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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Question
Solve these problems using "Pigeonhole Principle".
1) How many numbers must be selected from the set {20,30,40,50,60,70,80} to guarantee that
at least one pair of these numbers add up to 110?
2) Three parties are running for Bangladesh’s upcoming gubernatorial election. There are
5,00,500 people who vote. What is the minimum number of votes needed for any party to win
the election?
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