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A state makes license plates with two letters followed by four numbers with no repetitions of the letters permitted. How many different possibilities are there? I got 3276000 but it's saying that's wrong.

Question

A state makes license plates with two letters followed by four numbers with no repetitions of the letters permitted. How many different possibilities are there?
 I got 3276000 but it's saying that's wrong.

check_circleAnswer
Step 1

Since, the license plates contain two letters followed by four digits.

So, the number plates will be

Digit
Letter
Letter
Digit
Digit
Digit
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Digit Letter Letter Digit Digit Digit

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Step 2

Given, the repetition is not allowed in the letters, but permitted in the numbers.

So, the all 26 letters can be used in first place and 25 letters can be used in second place of the alphabet and all 10 digits can be used again and again.

Step 3

According to the above informat...

= 26 x 25x 10 x10 x 10 x 10
26x 25x 10000
=650 x10000
=6500000
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= 26 x 25x 10 x10 x 10 x 10 26x 25x 10000 =650 x10000 =6500000

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Tagged in

Math

Algebra

Permutations and Combinations

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