(a)[3]
A party of 6 teenagers is going boating. There are three boats to use. One boat can carry $3$ people, another can carry $2$ people and the last can carry $1$ person. Determine how many different ways the 6 teenagers can be split between the three boats.
(b(i))[3]
Work out how many different $7$-digit numbers can be made from the seven digits $2, 2, 3, 7, 7, 7, 8$ for each of the following situations. The odd digits are together and the even digits are together.
(b(ii))[4]
Find how many different 7-digit numbers can be formed from the seven digits $2, 2, 3, 7, 7, 7, 8$ in the situation where the 2s are not adjacent.