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.