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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 ar

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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 A. 100 B. 120 C. 10 D. 12 Select the correct answer from above options

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Correct Answer - C 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`

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