Permutation and Combination - Fundamental Counting Principle

Permutation and Combination - Fundamental Counting Principle

A student wishes to walk from the corner \(X\) to the corner \(Y\) through streets as given in the street map as shown below. He does not move to the left or down.

  1. Find the number of different routes from \(X\) to \(Y\) the student can take.
  2. The student wishes to visit \(P\) on his way from \(X\) and \(Y\) as indicated in the diagram below. Find the number of different routes he can take.

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Answer:(a) \(126\) (b) \(60\)

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