SOLUTION: Question 1: If four colors are used to shade in a map of the 50 US states, show that at least 13 of them are shaded using the same color. Question 2: 35,001 people attended a ga

Algebra ->  Permutations -> SOLUTION: Question 1: If four colors are used to shade in a map of the 50 US states, show that at least 13 of them are shaded using the same color. Question 2: 35,001 people attended a ga      Log On


   



Question 801712: Question 1: If four colors are used to shade in a map of the 50 US states, show that at least 13 of them are shaded using the same color.
Question 2: 35,001 people attended a game. Is it a certainty that at least two of those people share the same three-lettered set of initials?

Answer by edjones(8007) About Me  (Show Source):
You can put this solution on YOUR website!
1) 52/13=4 so at least 14 of them are shaded using the same color.
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2) 26^3=17,576 The number of permutations of 3 initials. Yes, it is a certainty that at least two of those people share the same three-lettered set of initials.
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Ed