Radio station call signs, II Refer to Exercise 8.39. By

Chapter 8, Problem 8.40

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QUESTION:

Radio station call signs, II Refer to Exercise 8.39. By 1922, there were more applications for radio station licenses than the number of three-letter call signs available. A radio station in New Orleans applied for and was granted the call sign WAAB. (a) How many four-letter call signs start with the letter W? Show your method. (b) In fact, no call sign was permitted in which the same letter appeared three times in a row. (Th ats why the New Orleans station got WAAB, not WAAA.) How many fourletter call signs starting with W are possible with this restriction? Show your work. (c) How many four-letter call signs start with W or K and meet the restriction in (b)? Show your method.

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QUESTION:

Radio station call signs, II Refer to Exercise 8.39. By 1922, there were more applications for radio station licenses than the number of three-letter call signs available. A radio station in New Orleans applied for and was granted the call sign WAAB. (a) How many four-letter call signs start with the letter W? Show your method. (b) In fact, no call sign was permitted in which the same letter appeared three times in a row. (Th ats why the New Orleans station got WAAB, not WAAA.) How many fourletter call signs starting with W are possible with this restriction? Show your work. (c) How many four-letter call signs start with W or K and meet the restriction in (b)? Show your method.

ANSWER:

Step 1 of 3

(a) Use the multiplication counting principle and that there are 26 letters:

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