In how many different ways can it be done ?
10 men and 8 women out of which 5men are teachers, 3 men doctors and 2 businessmen ,Among the women , 3 are teachers, 2 doctors , 2 researches and 1 social worker.
A committee of 3 in which there is no teacher and no doctor

Options

A. 100
B. 120
C. 10
D. 12

Answer

C

Explanation

The committee has no teachers and no doctor
Out of 18 persons , there are 8 teacher and 5 doctors.
`implies ` Total number of selections
`=` Number of ways of selecting 3 persons out of remaining 5 persons
`=""^(5)C_(3)=(5xx4xx3)/(1xx2xx3)=10`