A secret code for a bank vault consists of 2 letters, then 4 digits and then 2 more letters.

How many different codes are possible?
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How many codes are possible if repeating letters and digits is not allowed?
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How many codes are possible if repeats are not allowed and the second letter must be 'U' and the fourth digit must be '2'?
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If the wrong code is entered the vault automatically locks and the alarm sounds. Suppose repeating letters and digits are allowed in the code. What is ther probability of a thief breaking into the vault if the thief has no prior knowledge of the secret code?
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