Ace the NYPD 1st Trimester Exam 2026 – Step Up and Secure Your Badge!

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A password consists of two uppercase letters followed by three digits. How many possible passwords are there?

676000

This tests the basic counting principle: multiply the possibilities for each independent position. There are 26 choices for each of the two letters, so the letter part gives 26 × 26 = 676 possibilities. For the three digits, each position has 10 choices (0–9), so the digit part gives 10 × 10 × 10 = 1000 possibilities. Since the two parts are fixed in order (letters first, then digits), multiply the results: 676 × 1000 = 676,000. So the total number of possible passwords is 676,000.

6760000

67600

676000000

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