Exam

Olympiad workbook

Subject

IOQM

Chapter

Permutation and Combination

Olympiad workbook · IOQM · Permutation and Combination

In how many ways can four married couples sit in a merry go round...

In how many ways can four married couples sit in a merry go round with identical seats such that men and women occupy alternate seats and no husband seats next to his wife?

Step-by-step solution

$$\begin{aligned} & \text { Husband } \Rightarrow 3! \\ & \text { wife } \Rightarrow 2 \\ & 3!\times 2=12 \end{aligned}$$