Chapter 12, Problem 3PTTS

a.

To determine

To find:The different groups of 3 the faculty adviser can select.

Answer to Problem 3PTTS

The different groups of 3 the faculty adviser can select is $3276$ .

Explanation of Solution

Given:

The number of students in the math club is 28.

Calculation:

The different groups of 3 the faculty adviser can select is ${28}_{C_3}$ .

  $\Rightarrow {28}_{C_3}=3276$

Hence, the different groups of 3 the faculty adviser can select is $3276$ .

b.

To determine

The number of ways in which the roles of president, vice president, and treasurer be assigned.

Answer to Problem 3PTTS

The number of ways in which the roles of president, vice president, and treasurer be assigned is 6.

Explanation of Solution

Given:

The number of students in the math club is 28.

Calculation:

The number of ways in which the roles of president, vice president, and treasurer be assigned is

  $3\times 2\times 1=6$

Hence, the number of ways in which the roles of president, vice president, and treasurer be assigned is 6.