A debating team consisting of 5 persons is to be chosen from a group of 7 boys and 5 girls. In how many ways can this team be formed so that it contains, (1) any 5 persons of the group,

Expert Answers
jeew-m eNotes educator| Certified Educator

We have 7 boys and 5 girls in our group. That means from a possible 12 people we have to select 5 for the debate group. Since we don't have any conditions in the selection we can directly choose 5 from 12.

Ways to select 5 from 12

`= ^12C_5`

`= 792`

So there are 792 ways to select 5 students from the group of boys and girls.