A license plate consists of 2 letters followed by 3 digits. How many license plates are possible if the 1st digit cannot be 0, and letters and digits may repeat

Answers

There are 608400 plates are possible.

If the first is A, we have 26 possibilities:

AA, AB, AC,AD,AE ……………………………….. AW, AX, AY, AZ.

If the first is B, we have 26 possibilities:

BA, BB, BC, BD, BE …………………………………..BW, BX,BY,BZ

And so on for every letter of the alphabet.

There are 26 choices for the first letter and 26 choices for the second letter. The number of different combinations of 2 letters is:

26×26=676

The same applies for the three digits.

There are 9 choices for the first as first digit cannot be 0

10 for the second,

10 for the third

9×10×10=900

So for a license plate which has 2 letters and 3 digits, there are:

676 × 900 = 608400 possibilities

To learn more about calculating possibilities from the given link

608400plates are possible.26 possibilities:26 possibilities:26 choicesfor the first letter and26 choicesfor the second letter. The number of different combinations of2 letters is:26×26=676three digits.9 choicesfor thefirstas first digitcannot be 09×10×10=9002 letters and 3 digits, there are:676 × 900 = 608400 possibilitiescalculating possibilitiesfrom the given link