SOLUTION: 1149 people are in an auditorium. Based on that fact alone, we know at least n of them were born in a year with the same last digit. What is n?

Algebra ->  Permutations -> SOLUTION: 1149 people are in an auditorium. Based on that fact alone, we know at least n of them were born in a year with the same last digit. What is n?      Log On


   



Question 895093: 1149 people are in an auditorium. Based on that fact alone, we know at least n of them were born in a year with the same last digit.
What is n?

Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
1149/10 = 114.9

Therefore it is guaranteed that 115 people have a birth year with the same units digit, by Pigeonhole.