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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 5 in which 3 men and 2 women are there A. 3360 B. 8568 C. 4284 D. 1680 Select the correct answer from above options

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Correct Answer - A the committee consists of 3 men and 2 women. Out of 10 men . 3 men can be selected in 10 C 3 10 ways . And out of 8 women can be selected in 8 C 2 8 ways lt brgt ⇒ ⇒ Total number of selections = 10 C 3 × 8 C 2 = = 10 × 9 × 8 1 × 2 × 3 × 8 × 7 1 × 2 = = 3360 =

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