(a(i))[1]
Determine how many distinct arrangements can be formed using all 10 letters of WALLFLOWER when no restrictions are imposed.
(a(ii))[4]
Determine how many distinct arrangements can be formed using all 10 letters of WALLFLOWER when there are exactly six letters between the two Ws.
(b)[4]
A team of 6 people is to be selected from 5 swimmers, 7 athletes and 4 cyclists. There has to be at least 1 from each activity, and the number of athletes must exceed the number of cyclists. Find the number of different ways the team can be chosen.