Seven friends together with their respective partners all meet up for a meal. To commemorate the occasion they arrange for a photograph to be taken of all 14 of them standing in a line.
How many different arrangements are there if each friend is standing next to his or her partner?
How many different arrangements are there if the 7 friends all stand together and the 7 partners all stand together?
A group of 9 people consists of 2 boys, 3 girls and 4 adults. In how many ways can a team of 4 be chosen if
both boys are in the team,
the adults are either all in the team or all not in the team,