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There are six towns P, Q, R, S, T and U. They are connected as follows:
There are two one-way roads between P and Q. There are three one-way roads between Q and R. There is only one two-way road between R and T. S and T are connected by two way. Similarly, S and U are connected by two one-way road. Starting from Q if a person has to visit town S, how many ways are available?
- a)4
- b)6
- c)3
- d)8
Correct answer is option 'B'. Can you explain this answer?
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Most Upvoted Answer
There are six towns P, Q, R, S, T and U. They are connected as follows...
Explanation:
Routes from Q to S:
- From Q, there are three one-way roads to R.
- From R, there is one two-way road to T.
- From T, there is a two-way road to S.
Possible routes:
1. Q -> R -> T -> S
2. Q -> R -> T -> S (same as route 1)
3. Q -> R -> T -> S (same as route 1 and 2)
4. Q -> R -> T -> S (same as route 1, 2, and 3)
5. Q -> R -> T -> S (same as route 1, 2, 3, and 4)
6. Q -> R -> T -> S (same as route 1, 2, 3, 4, and 5)
Therefore, there are 6 ways for a person starting from Q to visit town S. So, the correct answer is option B.
Routes from Q to S:
- From Q, there are three one-way roads to R.
- From R, there is one two-way road to T.
- From T, there is a two-way road to S.
Possible routes:
1. Q -> R -> T -> S
2. Q -> R -> T -> S (same as route 1)
3. Q -> R -> T -> S (same as route 1 and 2)
4. Q -> R -> T -> S (same as route 1, 2, and 3)
5. Q -> R -> T -> S (same as route 1, 2, 3, and 4)
6. Q -> R -> T -> S (same as route 1, 2, 3, 4, and 5)
Therefore, there are 6 ways for a person starting from Q to visit town S. So, the correct answer is option B.
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Community Answer
There are six towns P, Q, R, S, T and U. They are connected as follows...
1. There are two one-way roads between P and Q.
2. There are three one-way roads between Q and R.
3. There is only one two-way road between R and T.
4. S and T are connected by two two-way roads.
5. S and U are connected by two one-way road.
If a person has to visit town S, starting from two Q. There are six possible ways.
Hence, the correct answer is 6.
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There are six towns P, Q, R, S, T and U. They are connected as follows:There are two one-way roads between P and Q. There are three one-way roads between Q and R. There is only one two-way road between R and T. S and T are connected by two way. Similarly, S and U are connected by two one-way road. Starting from Q if a person has to visit town S, how many ways are available?a)4b)6c)3d)8Correct answer is option 'B'. Can you explain this answer?
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