3) Radio stations west of the Mississippi River have call names that begin with

Question

3) Radio stations west of the Mississippi River have call names that begin with the letter K and those east of the Mississippi River have call names that begin with a W. Some are 3 letters long, and others are 4 letters long. How many sets of call names are 4 letters long? ao = 35152 ways 4.) (See the previous question) How many sets of call names are possible for a radio station? ys a a- 1) 352 a ys 35 , l5a _3050 ) (See the previous question) If a radio station name is randomly selected from a list of all possible names, what are the odds in favor of it having 3 letters and beginning with a K?

Explanation / Answer

3)
the call names are 4 letters long
first letter can be either K or W
hence 2 ways
rest 3 positions can be filled by 26 *26*26 ways
hence
number of sets = 2*26^3
= 35152

4)
similarly for 3 letters
= 2 *26^2 = 1352

hence
total = 35152 + 1352
= 36504

Please rate

Related Questions

Navigate

• Browse (All)
• Browse 3
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.