CAT 2001QA Question 46

Permutation & CombinationEasy

The figure below shows the network connecting cities A, B, C, D, E and F. The arrows indicate permissible direction of travel. What is the number of distinct paths from A to F?

Answer & solution

Correct answer: 10

  • A

    9

  • 10

  • C

    11

  • D

    None of these

Solution

Numbers of possible paths from A to F are ADEF, ABCF, ABF, ADCF, ADCEF, ABDEF, ABEF, ABCEF, ABDCF and ABDCEF.

There are10 ways in all.

Hence, option (b).

Related Permutation & Combination questions

See all Permutation & Combination questions →
CAT 2001 QA Q46: The figure below shows the network connecting cities A, B, C, D, E and F. The arrows indicate permissible dire — Solution | TheCATExam