Question

QUESTION NINE:
(a) A hospital has 5 rooms each with 2 beds for children. If 5 pairs of identical twins are to be
assigned to these 10 beds so that each pair of twins sleeps in different beds in the same
room, how many assignments are possible?
(b) 4 students from Maths class, 3 students from Economics class and 3 students from Accounting
class are to be seated in a row. How many sitting arrangements are possible when students
of the same class must sit next to each other?
(c) A group of 9 people uses two cars to attend a wedding party. The larger car has 5 seats and
the smaller has 4. In how many ways can the group split?
(d) There are 10 questions in an examination paper of which a student has to answer 7.
(i) How many choices can she make?
(ii) How many choices can she make if she must answer at-least 3 of the first 5 questions?

Answer 1