Please enter the following details
From the following, differen committees are to be made as per the requirement given in each question.
In how many different ways can it de done? 10 men and 8 women out of which 5 men are teachers, 3 men doctors and businessmen. Among the women, 3 are 2 are teachers, 2 doctors, 2 researchers and 1 social worker.
Out of 10 men, Teachers = 5
Doctors = 3 and Business man = 2
Out of 8 women, Teachers = 3 and Doctors = 2
Researchers = 2 and Social worker = 1
Number of ways of selecting 4 members in which at least 2 are women
= (2 men , 2 women) + (1 men , 3 women) + (0 men , 4 women)
= $$(C^{10}_2 \times C^8_2) + (C^{10}_1 \times C^8_3) + (C^{10}_0 \times C^8_4)$$
= $$(\frac{10 \times 9}{1 \times 2} \times \frac{8 \times 7}{1 \times 2}) + (\frac{10}{1} \times \frac{8 \times 7 \times 6}{1 \times 2 \times 3}) + (\frac{8 \times 7 \times 6 \times 5}{1 \times 2 \times 3 \times 4})$$
= $$(45 \times 28) + (10 \times 56) + (70)$$
= $$1260 + 560 + 70 = 1890$$
Create a FREE account and get:
- Banking Quant Shortcuts PDF
- Free Banking Study Material - (15000 Questions)
- 135+ Banking previous papers with solutions PDF
- 100+ Online Tests for Free
