Taken for a ride...Discrete Mathematics Level 3
One day, since three motorbikes have become part of the Tan family, the family of six (Mr Tan, Mrs Tan, Benedict, Bob, Brenda and Brian) decided to go for a joy ride on their motorbikes, with exactly two on each one.
However, the restriction is that the two females (Mrs Tan and Brenda) do not ride motorbikes (like what many of you might expect). The four guys are however free to decide among themselves who to ride the motorbikes. How many arrangements are there?