Answer:
2,620,800 license plates can there be in this state if the first digit cannot be 2, and repetition of letters and numbers is not permitted.
Step-by-step explanation:
Here the licence plate has 4 numbers and 2 uppercase letters.
Given: The first two numbers CANNOT be 2.
Repetition in NOT permitted.
Now, according to the question:
The available options in the first number = Any number other then 2
= <u>9 options.</u>
The available options in the Second number = Any number other then 2 and the first number as Repetition in NOT permitted.
= <u>8 options.</u>
The available options in the Third number = Any number other then first and second number as Repetition in NOT permitted.
= <u>8 options</u>
The available options in the Fourth number = Any number other then first second and third number as Repetition in NOT permitted.
= <u>7 options</u>
The available options in the Fifth place Alphabet =<u> 26 options</u>
The available options in the Fifth place Alphabet = Any number other then first alphabet Repetition in NOT permitted.
<u>= 25 options</u>
<u />
So, the total number of options = PRODUCT OF ALL POSSIBLE OPTIONS
= 9 x 8 x 8 x 7 x 26 x 25
= 2,620,800 options.
Hence, 2,620,800 license plates can there be in this state if the first digit cannot be 2, and repetition of letters and numbers is not permitted.
