Get 2 FREE Instant-Explanations on Filo with code FILOAPP

There are 6 roads between A & B and 4 roads between B & C. i)

Question

There are $6$ roads between $A$ & $B$ and $4$ roads between $B$ & $C$ .
i) In how many ways can one drive the circular trip (ii) without using the same road more than once.

Views: 1,352 students

Found 3 tutors discussing this question

Elijah Discussed

There are

6

roads between

A

B

and

4

roads between

B

C

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

8 mins ago

Discuss this question LIVE

8 mins ago

Text solutionVerified

i) There are

6 \times 4 = 24

ways to reach at C fom A and same ways to reach at A from C. Thus total ways are

24 \times 24 = 576.

ii) And in case of without using same road

When we came back we have

4 - 1 = 3

ways from C to B and

6 - 1 = 5

ways from B to A.

Thus total ways

= 24 \times (3 \times 5) = 360

Was this solution helpful?

151

Report

One destination to cover all your homework and assignment needs

Learn Practice Revision Succeed

Instant 1:1 help, 24x7

60, 000+ Expert tutors

Textbook solutions

Big idea maths, McGraw-Hill Education etc

Essay review

Get expert feedback on your essay

Schedule classes

High dosage tutoring from Dedicated 3 experts

Trusted by 4 million+ students

Stuck on the question or explanation?

Connect with our maths tutors online and get step by step solution of this question.

231 students are taking LIVE classes

Question Text	There are $6$ roads between $A$ & $B$ and $4$ roads between $B$ & $C$ . i) In how many ways can one drive the circular trip (ii) without using the same road more than once.
Answer Type	Text solution:1
Upvotes	151