2007 H2 Mathematics

Paper 2 Question 9

A group of 12 people consists of 6 married couples.

(a)

The group stands in a line.

(i)

Find the number of different possible orders.

[1]
(ii)

Find the number of different possible orders in which each man stands next to his wife.

[3]
(b)

The group stands in a circle.

(i)

Find the number of different possible arrangements.

[1]
(ii)

Find the number of different possible arrangements if men and women alternate.

[2]
(iii)

Find the number of different possible arrangements if each man stands next to his wife and men and women alternate.

[2]