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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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Most Upvoted Answer
There are 10 trains plying between Calcutta and Delhi. The number of w...
There are 10 trains plying between C and D. if a person used 1st train to go.then there are 9 ways open for returning. hence 10 ways for going × 9 ways for returning=90 ways.
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There are 10 trains plying between Calcutta and Delhi. The number of w...
Given: 10 trains between Calcutta and Delhi
To find: Number of ways in which a person can go from Calcutta to Delhi and return by a different train
Solution:
- We can divide the problem into two parts:
- Part 1: Number of ways to go from Calcutta to Delhi
- Part 2: Number of ways to return from Delhi to Calcutta
Part 1:
- To go from Calcutta to Delhi, there are 10 trains available.
- Therefore, the number of ways to go from Calcutta to Delhi = 10
Part 2:
- To return from Delhi to Calcutta, the person cannot take the same train that he took to reach Delhi.
- Therefore, there are only 9 trains available for the return journey.
- Therefore, the number of ways to return from Delhi to Calcutta = 9
Total number of ways:
- As the person can go and return by any of the available trains, we need to multiply the number of ways in Part 1 and Part 2.
- Therefore, the total number of ways = 10 x 9 = 90
Therefore, option (B) 90 is the correct answer.
To find: Number of ways in which a person can go from Calcutta to Delhi and return by a different train
Solution:
- We can divide the problem into two parts:
- Part 1: Number of ways to go from Calcutta to Delhi
- Part 2: Number of ways to return from Delhi to Calcutta
Part 1:
- To go from Calcutta to Delhi, there are 10 trains available.
- Therefore, the number of ways to go from Calcutta to Delhi = 10
Part 2:
- To return from Delhi to Calcutta, the person cannot take the same train that he took to reach Delhi.
- Therefore, there are only 9 trains available for the return journey.
- Therefore, the number of ways to return from Delhi to Calcutta = 9
Total number of ways:
- As the person can go and return by any of the available trains, we need to multiply the number of ways in Part 1 and Part 2.
- Therefore, the total number of ways = 10 x 9 = 90
Therefore, option (B) 90 is the correct answer.
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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 isa)99b)90c)80d)None of theseCorrect answer is option 'B'. Can you explain this answer?
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