Radio stations in a certain country use a sequence of 5 or 6 letters as their st

Question

Radio stations in a certain country use a sequence of 5 or 6 letters as their station identification call letters. The first letter must be Y. Assume there are no restrictions on the remaining letters, and repetition is allowed. a) How many 5-letter station identifications are possible? b) How many 6-letter station identifications are possible? c) How many total station identifications are possible? d) The identification for a randomly-chosen radio station is 5 letters in length. What is the probability that all five letters are different? a) Set up the expression that would be used to calculate the number of possible 5-letter station identifications. The expression is (Do not simplify.) There are possible 5-letter station identifications. (Simplify your answer.) b) There are possible 6-letter station identifications. (Simplify your answer.) c) The total number of possible station identifications is (Simplify your answer.) d) If the identification for a randomly-chosen radio station is 5 letters in length, then the probability that all five letters are different is (Round to three decimal places as needed.)

Explanation / Answer

)as there are 26 letter that we can choose for last 4 letters;

therefore the expression is (26)4

there are 456976 possible 5 letter station identification

b)

there are 11881376 possible 6 letter station identification

c)total possible identification is 12338352

d)probability that all 5 letters are differnt =(25*24*23*22)/(264) =0.6644

Related Questions

Navigate

• Browse (All)
• Browse R
• Subjects

---

---

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