Answer:
2,948,400
Step-by-step explanation:
<u>For the first letter</u>, there are possibility of putting 26 different letter from the alphabet.
<u>For the second letter,</u> there are possibility of putting 25 different letters from the alphabet (since repetition is not allowed from first digit)
Now,
<u>For first digit</u>, there is possibility of 9 digits, since 0 is NOT ALLOWED.
<u>For second digit,</u> there is possibility of 9 digits, since 0 IS ALLOWED BUT repetition of first digit is not allowed.
<u>For third digit,</u> there is possibility of 8 digits, since 2 are taken in first 2 slots and repetition is not allowed.
<u>For fourth digit,</u> there is possibility of 7 digits, since 3 are taken in first 3 slots and repetition is not allowed.
<em><u>Now we multiply all the possibilities to get the number of license plates possible.</u></em>
26 * 25 * 9 * 9 * 8 * 7 = 2,948,400
