There are n boys and m girls.A group of p people should be formed where there should be min 4 boys and 1 girl.Find total number of way of forming the group if number of boys n is 5,number of girls m=2 and total number of people p is 5.How to go about solving this problem
Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. It's 100% free, no registration required.
Here's how it works:
- Anybody can ask a question
- Anybody can answer
- The best answers are voted up and rise to the top
There are $5$ boys and $2$ girls and you want to form a group of $5$ with at least $4$ boys and $1$ girl. That means you should choose $1$ girl and $4$ boys. This can be done in $\binom 21\times \binom 54=10$ ways.