Latest IBM Aptitude Question SOLUTION: A Committee is to be formed from a Group of 6 women and 5 men. Out of the 6 women 2 are Teachers, 2 Social Workers and 2 Doctors. Out of the 5 men 3 are Teachers and 2 Doctors. In

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A Committee is to be formed from a Group of 6 women and 5 men. Out of the 6 women 2 are Teachers, 2 Social Workers and 2 Doctors. Out of the 5 men 3 are Teachers and 2 Doctors. In how many different ways can it be done?

Asked In IBM (12 years ago)

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Adithi  (11 years ago)

There are total 4 doctors, 5 teachers and 2 social workers
so to get at lease 2 doctors in the committee there three possible ways
1. 4 doctors and 2 others
2. 3 doctors and 3 others
3. 2 doctors and 4 others
Doctors = 4, others=7
possibility : = C(4,4) C(7,2)+C(4,3) C(7,3) + C(4,2) C(7,4)
= 21 + 140 + 210
answer = 371 ways

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