A car license plate consists of 7 characters. The first 4 characters are numerals from 0 to 9. The last 3 characters are letters excluding I, O, and X. How many different license plates are possible?
a. 109
b. 121670000
c. 139827687
d. 161670000
Answers
Given : A car license plate consists of 7 characters. The first 4 characters are numerals from 0 to 9. The last 3 characters are letters excluding I, O, and X.
To find : How many different license plates are possible
Solution:
A car license plate consists of 7 characters.
The first 4 characters are numerals from 0 to 9.
each character can be in 10 ways
so possible ways = 10 * 10 * 10 * 10 = 10000
The last 3 characters are letters excluding I, O, and X.
=> Each character can be in 26 - 3 = 23 Ways
Possible ways = 23 *23 * 23 = 12167
Number of possible different license plates = 10000 * 12167
= 121670000
121670000 different license plates are possible
option b is correct
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