AP EAMCET · Maths · Probability
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
- A \(\frac{6}{7}\)
- B \(\frac{1}{8}\)
- C \(\frac{3}{8}\)
- D \(\frac{5}{9}\)
Answer & Solution
Correct Answer
(C) \(\frac{3}{8}\)
Step-by-step Solution
Detailed explanation
Total number of ways in which 3 men can check in 4 hotels \(=4 \times 4 \times 4=64\) If each men has to check in different hotel, no. of ways \({ }^4 \mathrm{C}_1 \times{ }^3 \mathrm{C}_1 \times{ }^2 \mathrm{C}_1\) \(=4 \times 3 \times 2=24\) ( 4 choices for 1 st men, 3 for 2…
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