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Question

Mathematics Question on permutations and combinations

In a collage of 300 students, every student reads 5 newspapers and every newspaper is read by 60 students. The number of newspapers is

A

atleast 30

B

atmost 20

C

exactly 25

D

None of these

Answer

exactly 25

Explanation

Solution

Let n be the number of newspapers which are read by the students.
Then, 60n=(300)×5n=2560n = (300) \times 5\Rightarrow n = 25