Subject: General Aptitude · Chapter: Permutations and Combinations · Exam: 2010 · 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 2 trainees and 3 research associates?
(a)15
(b)45
(c)60
(d)9
(e)None of these
Answer
Answer (as printed): C
Explanation
Required number of ways $= ({}^{3}C_2 \times {}^{6}C_3) = ({}^{3}C_1 \times {}^{6}C_3) = 3\times\frac{6\times5\times4}{3\times2\times1} = 60$.
Explanation as extracted from the printed page; notation may be imperfect.