Permutation And Combination Ques 3
Question-
A committee of five members is to be formed out of 3 trainees, 4 professors and 6 research asso- ciates. In how many different ways this can be done if the committee should have all the 4 professors and 1 research associate or all 3 trainees and 2 professors?
(1) 15
(2) 18
(3) 25
(4) 12
(5) Other than those given as options
(IBPS Bank PO/MT CWE-V Main Exam. 31.10.2015)
Show Answer
Correct Answer: (4)
Solution: (4)
$\text{Number of committees.} ={ }^{4} C_{4} \times{ }^{6} C_{1}+{ }^{3} C_{3} \times{ }^{4} C_{2} =1 \times 6+1 \times \frac{4 \times 3}{1 \times 2}=6+6=12$
BETA
