JEE Exam  >  JEE Questions  >  There are6roads between A & B and4roads b... Start Learning for Free
There are 6 roads between A & B and 4 roads between B & C.

(i) In how many ways can one drive from A to C by way of B?

(ii) In how many ways can one drive from A to C and back to A, passing through B on both trips?

(iii) In how many ways can one drive the circular trip described in (ii) without using the same road more than once.

  • a)
    i)576  ii)24  iii)360

  • b)
    i)24  ii)576  iii)360

  • c)
    i)20  ii)360 iii)576

  • d)
    None of these

Correct answer is option 'B'. Can you explain this answer?
Verified Answer
There are6roads between A & B and4roads between B & C.(i) In h...
a) It's 6*4 because there are 6 different roads to get to B, then after getting there, can take 4 different paths. So every one road to B has 4 different possible paths. 
b) Roundtrip is just the number of possible ways to get there, and then possible ways going back. 
But, you can take a different way back for each one of the 24 paths you could have taken to get to C. So it's 24 * 24. 
c) It's 24 paths the first way. Then since you can't use the same path on the way back, you take the original path out of the equation. So instead of (6 * 4), it's (6 - 1) * (4 - 1) or (5 * 3).
View all questions of this test
Most Upvoted Answer
There are6roads between A & B and4roads between B & C.(i) In h...
And B.
Explore Courses for JEE exam
There are6roads between A & B and4roads between B & C.(i) In how many ways can one drive from A to C by way of B?(ii) In how many ways can one drive from A to C and back to A, passing through B on both trips?(iii) In how many ways can one drive the circular trip described in (ii) without using the same road more than once.a)i)576 ii)24iii)360b)i)24 ii)576iii)360c)i)20 ii)360iii)576d)None of theseCorrect answer is option 'B'. Can you explain this answer?
Question Description
There are6roads between A & B and4roads between B & C.(i) In how many ways can one drive from A to C by way of B?(ii) In how many ways can one drive from A to C and back to A, passing through B on both trips?(iii) In how many ways can one drive the circular trip described in (ii) without using the same road more than once.a)i)576 ii)24iii)360b)i)24 ii)576iii)360c)i)20 ii)360iii)576d)None of theseCorrect answer is option 'B'. Can you explain this answer? for JEE 2025 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about There are6roads between A & B and4roads between B & C.(i) In how many ways can one drive from A to C by way of B?(ii) In how many ways can one drive from A to C and back to A, passing through B on both trips?(iii) In how many ways can one drive the circular trip described in (ii) without using the same road more than once.a)i)576 ii)24iii)360b)i)24 ii)576iii)360c)i)20 ii)360iii)576d)None of theseCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for There are6roads between A & B and4roads between B & C.(i) In how many ways can one drive from A to C by way of B?(ii) In how many ways can one drive from A to C and back to A, passing through B on both trips?(iii) In how many ways can one drive the circular trip described in (ii) without using the same road more than once.a)i)576 ii)24iii)360b)i)24 ii)576iii)360c)i)20 ii)360iii)576d)None of theseCorrect answer is option 'B'. Can you explain this answer?.
Solutions for There are6roads between A & B and4roads between B & C.(i) In how many ways can one drive from A to C by way of B?(ii) In how many ways can one drive from A to C and back to A, passing through B on both trips?(iii) In how many ways can one drive the circular trip described in (ii) without using the same road more than once.a)i)576 ii)24iii)360b)i)24 ii)576iii)360c)i)20 ii)360iii)576d)None of theseCorrect answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for JEE. Download more important topics, notes, lectures and mock test series for JEE Exam by signing up for free.
Here you can find the meaning of There are6roads between A & B and4roads between B & C.(i) In how many ways can one drive from A to C by way of B?(ii) In how many ways can one drive from A to C and back to A, passing through B on both trips?(iii) In how many ways can one drive the circular trip described in (ii) without using the same road more than once.a)i)576 ii)24iii)360b)i)24 ii)576iii)360c)i)20 ii)360iii)576d)None of theseCorrect answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of There are6roads between A & B and4roads between B & C.(i) In how many ways can one drive from A to C by way of B?(ii) In how many ways can one drive from A to C and back to A, passing through B on both trips?(iii) In how many ways can one drive the circular trip described in (ii) without using the same road more than once.a)i)576 ii)24iii)360b)i)24 ii)576iii)360c)i)20 ii)360iii)576d)None of theseCorrect answer is option 'B'. Can you explain this answer?, a detailed solution for There are6roads between A & B and4roads between B & C.(i) In how many ways can one drive from A to C by way of B?(ii) In how many ways can one drive from A to C and back to A, passing through B on both trips?(iii) In how many ways can one drive the circular trip described in (ii) without using the same road more than once.a)i)576 ii)24iii)360b)i)24 ii)576iii)360c)i)20 ii)360iii)576d)None of theseCorrect answer is option 'B'. Can you explain this answer? has been provided alongside types of There are6roads between A & B and4roads between B & C.(i) In how many ways can one drive from A to C by way of B?(ii) In how many ways can one drive from A to C and back to A, passing through B on both trips?(iii) In how many ways can one drive the circular trip described in (ii) without using the same road more than once.a)i)576 ii)24iii)360b)i)24 ii)576iii)360c)i)20 ii)360iii)576d)None of theseCorrect answer is option 'B'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice There are6roads between A & B and4roads between B & C.(i) In how many ways can one drive from A to C by way of B?(ii) In how many ways can one drive from A to C and back to A, passing through B on both trips?(iii) In how many ways can one drive the circular trip described in (ii) without using the same road more than once.a)i)576 ii)24iii)360b)i)24 ii)576iii)360c)i)20 ii)360iii)576d)None of theseCorrect answer is option 'B'. Can you explain this answer? tests, examples and also practice JEE tests.
Explore Courses for JEE exam

Top Courses for JEE

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev