Philippine Tours

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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