A 6 character computer password is made up of 4 numbers followed by 2 letters. How many different passwords are possible?

Each of the 4 number positions has 10 choices, giving 10 × 10 × 10 × 10 = 10,000 possible number sequences. Each of the 2 letter positions has 26 choices, giving 26 × 26 = 676 letter pairs. Multiplying gives 10,000 × 676 = 6,760,000 passwords, so the answer is 6,760,000.

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