A 7 character computer password is made up of 4 letters followed by 3 numbers. How many different passwords are possible?

Each of the 4 letter positions has 26 choices, and each of the 3 number positions has 10 choices. By the multiplication principle, the number of passwords is 26⁴ × 10³ = 456,976 × 1,000 = 456,976,000. The correct choice is 456,976,000.

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