a) Freddie has 6 toys cars and 3 toy buses, all different. i) Freddie arranges these 9 toys in a line. Find the number of possible arrangements · if there is a car at each end of the line and no buses are next to each other.
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Six cars we can arrange in ways.
Buses can be filled in the gap between two toy cars.
There are five gaps between the cars.
Three buses can be filled in five gaps in ways.
So, the total number of ways to arrange is