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There are 10 trains plying between Calcutta and Delhi. The number of ways in which a person can go from Calcutta to Delhi and return by a different train is
- a)99
- b)90
- c)80
- d)none of these
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
There are 10 trains plying between Calcutta and Delhi. The number of w...
To determine the number of ways a person can go from Calcutta to Delhi and return by a different train among 10 available trains, we can break down the problem as follows:
- Choose a train for the journey from Calcutta to Delhi: There are 10 choices.
- Choose a different train for the return journey from Delhi to Calcutta: After choosing one train for the outgoing journey, 9 other trains remain for the return journey.
Therefore, the total number of ways to make the round trip using different trains for each leg is:
10 × 9 = 90
So, the correct answer is Option 2: 90.
Most Upvoted Answer
There are 10 trains plying between Calcutta and Delhi. The number of w...
Given:
Number of trains plying between Calcutta and Delhi = 10
To find:
Number of ways in which a person can go from Calcutta to Delhi and return by a different train
Solution:
When a person travels from Calcutta to Delhi, he can choose any one of the 10 trains.
Similarly, when he returns from Delhi to Calcutta, he can choose any one of the remaining 9 trains (since he cannot travel by the same train).
Therefore, the total number of ways in which he can travel from Calcutta to Delhi and back by a different train is:
Number of ways = 10 x 9 = 90
Hence, the correct answer is option B (90).
Number of trains plying between Calcutta and Delhi = 10
To find:
Number of ways in which a person can go from Calcutta to Delhi and return by a different train
Solution:
When a person travels from Calcutta to Delhi, he can choose any one of the 10 trains.
Similarly, when he returns from Delhi to Calcutta, he can choose any one of the remaining 9 trains (since he cannot travel by the same train).
Therefore, the total number of ways in which he can travel from Calcutta to Delhi and back by a different train is:
Number of ways = 10 x 9 = 90
Hence, the correct answer is option B (90).
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