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In a 12 storey building 3 persons enter a lift cabin. It is known that they will leave the lift at different storeys. In how many ways can they do so if the lift does not stop at the second storey.
- a)720
- b)240
- c)120
- d)36
Correct answer is option 'A'. Can you explain this answer?
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Most Upvoted Answer
In a 12 storey building 3 persons enter a lift cabin. It is known that...
Approach:
To solve this problem, we can use the concept of permutations. Since the lift does not stop at the second storey, the three persons can leave at any of the remaining 11 storeys in different ways.
Calculation:
- Number of ways the first person can leave the lift = 11 (as the lift doesn't stop at the second storey).
- Number of ways the second person can leave the lift = 10 (excluding the storey where the first person has left).
- Number of ways the third person can leave the lift = 9 (excluding the storeys where the first two persons have left).
So, the total number of ways in which the three persons can leave the lift at different storeys = 11 * 10 * 9 = 990 ways.
However, the order in which the persons leave the lift does not matter. Therefore, we need to divide by the number of ways in which the three persons can be arranged, which is 3! = 6.
Thus, the final number of ways = 990 / 6 = 165 ways.
Conclusion:
Therefore, the three persons can leave the lift in 165 different ways if the lift does not stop at the second storey. However, since the given options do not match this result, there might be a mistake in the options provided. The closest correct option to the calculated result is 720, which might be a typographical error in the options.
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Community Answer
In a 12 storey building 3 persons enter a lift cabin. It is known that...
10C3*3!=720
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In a 12 storey building 3 persons enter a lift cabin. It is known that they will leave the lift at different storeys. In how many ways can they do so if the lift does not stop at the second storey.a) 720 b) 240 c) 120 d) 36 Correct answer is option 'A'. Can you explain this answer?
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In a 12 storey building 3 persons enter a lift cabin. It is known that they will leave the lift at different storeys. In how many ways can they do so if the lift does not stop at the second storey.a) 720 b) 240 c) 120 d) 36 Correct answer is option 'A'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about In a 12 storey building 3 persons enter a lift cabin. It is known that they will leave the lift at different storeys. In how many ways can they do so if the lift does not stop at the second storey.a) 720 b) 240 c) 120 d) 36 Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a 12 storey building 3 persons enter a lift cabin. It is known that they will leave the lift at different storeys. In how many ways can they do so if the lift does not stop at the second storey.a) 720 b) 240 c) 120 d) 36 Correct answer is option 'A'. Can you explain this answer?.
In a 12 storey building 3 persons enter a lift cabin. It is known that they will leave the lift at different storeys. In how many ways can they do so if the lift does not stop at the second storey.a) 720 b) 240 c) 120 d) 36 Correct answer is option 'A'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about In a 12 storey building 3 persons enter a lift cabin. It is known that they will leave the lift at different storeys. In how many ways can they do so if the lift does not stop at the second storey.a) 720 b) 240 c) 120 d) 36 Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a 12 storey building 3 persons enter a lift cabin. It is known that they will leave the lift at different storeys. In how many ways can they do so if the lift does not stop at the second storey.a) 720 b) 240 c) 120 d) 36 Correct answer is option 'A'. Can you explain this answer?.
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In a 12 storey building 3 persons enter a lift cabin. It is known that they will leave the lift at different storeys. In how many ways can they do so if the lift does not stop at the second storey.a) 720 b) 240 c) 120 d) 36 Correct answer is option 'A'. Can you explain this answer?, a detailed solution for In a 12 storey building 3 persons enter a lift cabin. It is known that they will leave the lift at different storeys. In how many ways can they do so if the lift does not stop at the second storey.a) 720 b) 240 c) 120 d) 36 Correct answer is option 'A'. Can you explain this answer? has been provided alongside types of In a 12 storey building 3 persons enter a lift cabin. It is known that they will leave the lift at different storeys. In how many ways can they do so if the lift does not stop at the second storey.a) 720 b) 240 c) 120 d) 36 Correct answer is option 'A'. Can you explain this answer? theory, EduRev gives you an
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