Question

A committee must be formed with 2 teachers and 6 students. If there are 8 teachersto choose from, and 16 students, how many different ways could the committee bemade?

Answer 1

$\begin{gathered} T=\text{ teacher}=8 \\ S=\text{ Student}=16 \\ \text{Total = T}\cdot T\cdot S\cdot S\cdot S\cdot S\cdot S\cdot S \\ \text{Total = 8}\cdot7\cdot16\cdot15\cdot14\cdot13\cdot12\cdot11 \\ \text{Total}=322,882,560 \\ \text{There are }322,882,560\text{ different ways to make the committe}e \end{gathered}$