CAT 2017 Permutations and Combinations Question (Easy)

Question

An institute has 5 departments and each department has 50 students. If students are picked up randomly from all 5 departments to form a committee, what should be the minimum number of students in the committee so that at least one department should have representation of minimum 5 students?

Optima Learn · Accepted Answer

To avoid having 5 students from any one department, we can pick at most 4 from each of the 5 departments, i.e. 4 times5 20 students. The next student the 21st must come from some department and will make that department s count at least 5. Hence the minimum required is 21.

CAT 2017 Permutations and Combinations — Previous Year Question

CAT 2017

Quantitative

Permutations and Combinations

Easy

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