Find the number of 7-character capital letter or digit license plates possible if

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 xx 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:

#10xx10xx10 =1000#

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

#26xx26xx10xx10xx10= 676,000#possibilities.

Hope this helps.

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  How many different 7 place license plates are possible if the first two places are for letters and the other five for numbers?

  So for each of these places There are a total of 10 options. So by using the multiplication rule of counting, the total number of license plates possible will be obtained by multiplying all of these numbers. So the result is 67,600,000. So this is the total number of license plates possible.

  How many different 7 part license plates are possible with one digit first 3 letters after followed by another 3 digits?

  Therefore, we have 7 choices for each of the first 3 characters, and 9 choices for each of the last 3 characters. Therefore, the total number of distinct plates possible is 7*7*7 * 9*9*9 = 343 * 729 = 250047.

  How many different 7 place license plates are possible if the first 3 places are for letters and the remaining 4 are for numbers?

  All that's left is to specify which of the 7 positions hold the 3 letters (and then the other 4 automatically get the digits). That's C(7,3)=35.

  Can you get 7 letter number plates Victoria?

  Your preferred plate can be a combination of numbers and letters, up to a maximum of 7 characters for a car. You have the option of using an existing slogan or creating your own. There are also numerous plate categories to choose from here.