Question

A parent teacher organization has six teachers and seven parents. How many four person committees can be formed if two people must be teachers and two people must be parents?

Answer 1

315 four-person committees can be formed if two people must be teachers and two people must be parents

Step-by-step explanation

The number of teachers = 6

The number of parents = 7

The number of required teachers to be formed = 2

The number of required parents to be formed = 2

The number of four-person committees that can be formed =

⁶C₂ x ⁷C₂ = 15 x 21 = 315

∴ 315 four-person committees can be formed if two people must be teachers and two people must be parents