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 105 who come from the same state?

Question

Mathematics

Jon Dennis

1 March, 09:37

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 105 who come from the same state?

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Turner Compton · Answer 1

5,250 Enrolled Students

Step-by-step explanation:

As there are 50 states, and we need to ensure that out of the total enrolled students, atleast 105 students come from the same state.

The minimum possible number of students who are enrolled at the university must be as follows:

Minumum number of enrolled students = number of states x least number of students from same state

Where:

Number of states = 50

Least number of students from same state = 105

Therefore:

Minumum number of enrolled students = 50 x 105 = 5,250 Enrolled Students