Please enter the following details
Free Daily Targets & Mocks
Study Material & Formulas PDFs
1 on 1 Mentorship
Question 112
A select group of 4 is to be formed from 8 men and 6 women in such a way that the group must have atleast one woman. In how many different ways can it be done ?
Solution
The total number of people is 8+6 = 14
An easy way to calculate the number of ways of selecting atleast one woman is to calculate the opposite of it.
The total number of ways of selecting 4 people from a total of 14 is $$^{14}C_4 = 1001$$
The number of ways of selecting a group of all men (and no women) is $$^8C_4 = 70$$
Hence, the number of ways of selecting 4 people such that atleast one of them is a woman is $$1001-70 = 931$$
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
