(a(i))[3]
Seven friends and their partners meet for a meal. To mark the occasion, a photograph is taken of all $14$ of them standing in a line. How many distinct line-ups are possible if every friend stands beside his or her partner?
(a(ii))[2]
How many different arrangements are possible if the $7$ friends stay together and the $7$ partners also stay together?
(b(i))[1]
A set of $9$ people contains $2$ boys, $3$ girls and $4$ adults. In how many ways may a team of $4$ be chosen if both boys must be included?
(b(ii))[2]
In how many ways can a team of $4$ be chosen if the adults are either all included or all excluded?
(b(iii))[2]
In how many ways can a team of $4$ be chosen if the team contains at least $2$ girls?