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AP EAMCET20225 Jul 2022Evening ShiftMathematicsProbabilityActual

There are 4 hotels in a town. If 3 men check into the hotels in a day then the probability that each checks into a different hotel is

Options

  1. A6 7
  2. B1 8
  3. C3 8
  4. D5 9

Correct answer

C. 3 8

Step-by-step solution

Total number of ways in which 3 men can check in 4 hotels =4 4 4=64 If each men has to check in different hotel, no. of ways ^4 C ₁ ^3 C ₁ ^2 C ₁=4 3 2=24 ( 4 choices for 1 st men, 3 for 2 nd and 2 for 3 rd) Required probability = 24 64 = 3 8

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