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Sticky Note
A password contains 1 integer, 1 letter, and 1 symbol. If there are 5 integers, 3 letters, and 2 symbols, how many passwords are possible?
  1. 170
  2. 180
  3. 190
  4. None of these
Explanation

The password must contain:

  • 1 integer: 5 choices
  • 1 letter: 3 choices
  • 1 symbol: 2 choices

First select one from each category:

5×3×2=30

Now, these 3 selected characters can be arranged in different orders:

3!=3×2×1=6

Therefore:

Answer 30×6=180

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