(Solved): 2. A group of 8 friends travel to the airport in two taxis, P and Q. Each taxi can take 4 passenger ...

2. A group of 8 friends travel to the airport in two taxis, $P$ and $Q$. Each taxi can take 4 passengers. The $B$ friends divide themselves into two groups of $A$, one for taxi $P$ and one group for taxi $Q$. with Jon and Sarah travelling in the same taxd. a) Find the number of different ways in which this can be done. [3] $6=+4=30$ Each taxi can take 1 passenger in the front and 3 passengers in the back (see diagram). Mark sits in the front of taxi $\mathrm{P}$ and Jon and Sarah sit in the back of taxi P next to each other. b) Find the number of different seating arrangements that are now possible for the 8 friends. [4]