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

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.

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