A code is made up of a letter (A-Z) and two digits (0-9). The digit can be repeated. How many possible codes exist? 2600 260 46 28

Question

Mathematics

Bryson

6 June, 06:16

A code is made up of a letter (A-Z) and two digits (0-9). The digit can be repeated. How many possible codes exist? 2600 260 46 28

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Answers (1)

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Alfred Washington · Answer 1

2600.

Step-by-step explanation:

There are 26 letters.

Also there are 10P2 permutations of the digits 0-9

10P2 = 10! / (10-2) ! = 90.

There are 10 repeated digits.

So the number of possible codes are 26 * (90 + 10)

= 2600.