SOLUTION: How many different 6-letter radio station names can be made, assuming the first letter must be a K or a W? Assume repetition of letters is allowed. Use the Multiplication Princip
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Question 1188465: How many different 6-letter radio station names can be made, assuming the first letter must be a K or a W? Assume repetition of letters is allowed. Use the Multiplication Principle of Counting to solve the problem Found 2 solutions by Alan3354, ikleyn:Answer by Alan3354(69443) (Show Source):
You can put this solution on YOUR website! How many different 6-letter radio station names can be made, assuming the first letter must be a K or a W? Assume repetition of letters is allowed. Use the Multiplication Principle of Counting to solve the problem
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The 1st letter is 1 of 2.
Then 1 of 26, 1 of 26 etc
---> 2*26^5
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They're not "station names" they are call signs.
None of them have 6 letters, they have either 3 or 4.
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Amateur radio call signs can be 4, 5 or 6 characters, but one of the characters is a number.
Mine is K8QKQ. Guy across the street is WB5LVG
How many = 2*26^5.
The number 26 reflects 26 letters of the English alphabet.
The degree of 5 symbolizes 5 positions, from 2 to 6, inclusive.
The multiplier 2 stands to account for 2 possible first letters K or W.
