How many license plates can u get with 3 numbers, 2 letters, then 2 numbers

676,000 possibilities.

Step-by-step explanation:

There is nothing stating that the letters and numbers can't be repeated, so all

26

letters of the alphabet and all

10

digits can be used again.

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

10

choices for the first,

10

for the second and

10

for the third:

10

*

10

*

10

=

1000

So for a license plate which has

2

letters and

3

digits, there are:

26

*

26

*

10

*

10

*

10

=

676,000 possibilities.