What is the minimum number of students, each of whom comes from one of the 50 states, who must be enrolled in a university to guarantee that there are at least 100 who come from the same state?.

Question

Mathematics

Ayden Poole

22 December, 23:27

What is the minimum number of students, each of whom comes from one of the 50 states, who must be enrolled in a university to guarantee that there are at least 100 who come from the same state?.

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Answers (1)

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Miranda Levine · Answer 1

Minimum number of student is 4951

Step-by-step explanation:

4950 wont work because there are 99 student in each state

99 * 50 = 4950

there are 100 students comes from same state. So from pigeon hole principle there are at least [ 4951/50] = 100 come from state