Question

4. The call letters for all radio stations in the United States start with either a W (east of the Mississippi River) or a K (west of the Mississippi River) followed by three other letters that

can be repeated. How many different call letters are possible?

Answer 1

Answer: There are 35152 different call letters are possible.

Explanation:

Given : The call letters for all radio stations in the United States start with either a W (east of the Mississippi River) or a K (west of the Mississippi River) followed by three other letters that can be repeated.

i.e.The total characters = 4

The choices for first letter = 2 (either W or K)

The choices for rest of other letters = 26 (English alphabets has 26 letters)

Then, the number of different call letters are possible =2 x 26 x 26 x 26

=35152

Therefore , there are 35152 different call letters are possible.