Permutation and combinations

Question code: 2a30

Question 2103

A group of 6 people consists of 3 married couples.

(i)

The group stand in a line.

(a)

Find the number of different possible arrangements.

(b)

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

(ii)

The group stand in a circle.

(a)

Find the number of different possible arrangements.

(b)

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

(c)

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

Answer

(i)

(a)

720.

(b)

48.

(ii)

(a)

120.

(b)

12.

(c)

Question code: 2a30