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1. There are 5 doors to a lecture room. In how many ways can a student enter the room through a door and leave the room by a different door?
- A. 10
- B. 10
- C. 10
- D. 10
Answer: Option B
Explanation:
To enter the room through one door and leave through a different door, you can choose from 5 doors for entering and then choose from the remaining 4 doors for leaving.
So, the total number of ways a student can enter and leave through different doors is 5 (choices for entering) × 4 (choices for leaving) = 20 ways.
Therefore, the correct answer is 20.
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