(a) Jack has won 7 trophies: 2 for cricket, 4 for football and 1 for swimming. Find the number of different arrangements if

(i) there are no restrictions,

(ii) the football trophies are to be kept together,

(iii) the football trophies are to be kept together and the cricket trophies are to be kept together.

(b) A team of 8 players is to be chosen from 6 girls and 8 boys. Find the number of different ways if

(i) there are no restrictions,

(ii) all the girls are in the team,

(iii) at least 1 girl is in the team.