ABC26GN5302 · Permutations and Combinations

Subject: General Aptitude · Chapter: Permutations and Combinations · Exam: · Marks: · Difficulty:

A committee of 5 members is to be formed out of 3 trainees, 4 professors and 6 research associates. In how many different ways can this be done, if the committee should have 4 professors and 1 research associate or all 3 trainees and 2 professors? (S.B.I. P.O., 2010

(a)12

(b)13

(c)24

(d)52

(e)None of these

Answer

Answer (as printed): E

Explanation

Required number of ways = (4C4 × 6C1) + (3C3 × 4C2)  4 × 3 = (1 + 6) +  1 +  = (7 + 7) = 14.  2 

Explanation as extracted from the printed page; notation may be imperfect.

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