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Chapter 11: Problem 20

How many different four-letter radio station call letters can be formed if the first letter must be W or K?

Short Answer

Expert verified
There are 35152 different four-letter call letters that can be formed.

Step by step solution

01

Identify the number of possibilities for each slot

For the first slot we only have 2 possibilities: W or K. For each of the remaining slots, we have 26 possibilities because each of them can be any of the 26 letters in the alphabet. So, the slots are as follows: Slot 1: 2 possibilities, Slot 2: 26 possibilities, Slot 3: 26 possibilities, Slot 4: 26 possibilities.
02

Calculate the total number of combinations

The number of combinations is given by the product of the number of possibilities for each slot. Therefore, the total number of combinations is 2*26*26*26.
03

Compute the numerical result

Do the mathematical computation to get the result. Therefore, the solution to the problem is given by calculating the value of 2*26*26*26 = 35152.

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