(a(i))[3]
At the start of the party, the 12 people will line up for a photograph. How many different arrangements are possible if Jai stands next to Kaz and each friend stands next to his own wife?
(a(ii))[2]
How many different arrangements are there of the 12 people if Jai and Kaz take the two middle positions in the line, with Jai’s five friends on one side and the five wives of those friends on the other side?
(b)[5]
For a competition at the party, the 12 people are split at random into a group of 5, a group of 4 and a group of 3. Find the probability that Jai and Kaz are in the same group as each other.