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Question
A circular hall has six doors. In how many ways can a lady dancer enter the hall through one door and leave it through a different door?
A circular hall has six doors. In how many ways can a lady dancer enter the hall through one door and leave it through a different door?
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Solution
A dancer can enter the hall in 6 ways as she can choose any door she likes. Now, she has only 5 choices for exit as the door through which she enter is closed for her.
A dancer can enter the hall in 6 ways as she can choose any door she likes. Now, she has only 5 choices for exit as the door through which she enter is closed for her.
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