Chapter 8.5, Problem 24E

(a)

To determine

To find: the possible numbers of radio station call letters in U.S.

Answer to Problem 24E

The possible numbers of radio station call letters in U.S are 35152.

Explanation of Solution

Given information:

East radio station can have 26 stations starting with W and west radio station can have 26 radio stations starting with K.

Calculation:

The possible numbers of radio station call letters in U.S are:

  $\begin{array}{c}1\times 26\times 26\times 26+1\times 26\times 26\times 26=17556+17556\\ =35152\end{array}$

(b)

To determine

To find: the possible numbers of radio station call letters in U.S when the call letters must include a Q.

Answer to Problem 24E

The possible numbers of radio station call letters in U.S. When the call letters must include a Q are:

3902

Explanation of Solution

Given information:

East radio station can have 26 stations starting with W and west radio station can have 26 radio stations starting with K.

The call letters must include a Q.

Calculation:

The possible numbers of radio station call letters in U.S. When the call letters must include a Q are:

  $\begin{array}{l}=\left(150\times 26\right)+2\\ =3902\end{array}$