Quantitative Aptitude Ques 2035
Question: A committee of five members is to be formed out of 3 trainees, 4 professors and 6 research associates. 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?
Options:
A) 15
B) 18
C) 25
D) 12
E) Other than those given as options
Show Answer
Answer:
Correct Answer: D
Solution:
- Required number of ways $ ={}^{4}C _4\times {}^{6}C _1+{}^{3}C _3\times {}^{4}C _2 $ $ =1\times 6+1\times 6=12 $