Find the number of different arrangements which can be made of all 10 letters of the word WALLFLOWER if
there are no restrictions,
there are exactly six letters between the two Ws.
A team of 6 people is to be chosen from 5 swimmers, 7 athletes and 4 cyclists. There must be at least 1 from each activity and there must be more athletes than cyclists. Find the number of different ways in which the team can be chosen.