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In a certain state, license plates consist of three
Chapter 2, Problem 8E(choose chapter or problem)
In a certain state, license plates consist of three letters followed by three numbers.
a. How many different license plates can be made?
b. How many different license plates can be made
in which no letter or number appears more than once?
c. A license plate is chosen at random. What is the probability that no letter or number appears more than once?
Questions & Answers
QUESTION:
In a certain state, license plates consist of three letters followed by three numbers.
a. How many different license plates can be made?
b. How many different license plates can be made
in which no letter or number appears more than once?
c. A license plate is chosen at random. What is the probability that no letter or number appears more than once?
ANSWER:
Solution 8E
Step1 of 3:
We have license plates consist of 3 letters followed by 3 numbers.
We need to find,
a).We need to find How many different license plates can be made?
b).We need to find How many different license plates can be made in which no letter or number appears more than once?
c).We need to find A license plate is chosen at random. What is the probability that no letter or number appears more than once?
Step2 of 3:
a).
We know that the total number of letters in English = 26
The allowed digits are {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}
That is n = 10.
license plates consist of 3 letters followed by 3 numbers.
Now,
The possible number of ways to made different license plates =