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There are four hotels in a town. If 3 men check into the hotels in a day then what is the probability that each checks into a different hotel?

A. 

3/4

B. 

1/4

C. 

4/7

D. 

3/8

Answer
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Answer with explanation

Answer: Option D

Explanation

Total no.on ways to stay in a hotel without any condition = 4 x 4 x 4 = 64 ways.

Bcoz, every person have 4 choices

Now, if every person has to stay in the different hotels then no.of ways = 4×3×2 = 24 ways.

Required probability =24/64  = 3/8

(or)

Total cases of checking in the hotels = 4 x 4 x 4 = 64 ways.

Cases when 3 men are checking in different hotels = 4×3×2 = 24 ways.

Required probability =24/64  = 3/8

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Comments

  1. prasad says

    December 10, 2019 at 7:46 pm

    give me the proper explanation

    Reply
    • Saran Harika says

      January 21, 2020 at 6:18 pm

      Total no.on ways to stay in a hotel without any condition = 4 x 4 x 4 = 64 ways.

      Bcoz, every person have 4 choices

      Now, if every person has to stay in the different hotels then no.of ways = 4×3×2 = 24 ways.

      Required probability =24/64  = 3/8

      Reply

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