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?
- 170
- 180
- 190
- 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:
Now, these 3 selected characters can be arranged in different orders:
Therefore:
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- 30
- 25
- 35
- None of these
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- 41
- 39
- 37
- None of these
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- 1/9
- 1/6
- 1/12
- None of these
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- 1/12
- 1/6
- 1/3
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- 400
- 500
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- 700
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