Question

6 teachers and 12 students volunteer for a committee to discuss extra curricular activities. How many committees of 5 people can be made if there are no restrictions

Answer 1

Since there are no restrictions, we can select any 5 people out of the total 18 people (6 teachers + 12 students). This can be calculated using the combination formula:

C(18, 5) = 18! / (5!(18-5)!) = 8568

Therefore, there can be 8,568 different committees of 5 people.