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There are 60 questions in a question pap...

There are 60 questions in a question paper. If no two students solve the same combination of questions but solve equal number of questions, then the maximum number of student who appeared in the examination, is

A

`""^(60)C_(29)`

B

`""^(60)C_(30)`

C

`""^(60)C_(50)`

D

none of these

Text Solution

Verified by Experts

Let r questions be solved by each student. Then,
`{:("Number of students"=""^(60)C_(r)[ :'"Each student has solved different combinations of questions"]`
`:.` Maximum number of students = Maximum value of `""^(60)C_(r)`
`=""^(60)C_(30)`
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