# Philippine Tours

**Discrete Mathematics**Level 4

There are three major cities in the Philippines, namely, \(Manila\), \(Cebu\), and \(Davao\). Back then, every tourist can travel to or from any of these cities. However, due to a recent turn of events, all routes connecting \(Manila\) and \(Davao\) have been closed.

As of today, there are \(8\) two-way routes connecting \(Cebu\) and \(Manila\), and there are \(7\) two-way routes connecting \(Cebu\) and \(Davao\). How many ways can a traveler reach \(Davao\) from \(Cebu\) if he wants to pass to \(Manila\)?

Note: This problem is fictitious and does not reflect the current state of relationships among the three cities.

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