5 countries president and prime minister went for a summit. If all 5 prime ministers shake hand to president at random, in how many ways they can shake hand if all 5 PMs shake hand only to their country president only.

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Solution

The correct option is A
1

Let's say PMs are $p m_{1}, p m_{2}, p m_{3}, p m_{4} a n d p m_{5}$
Presidents are $p_{1}, p_{2}, p_{3}, p_{4} a n d p_{5}$
For all 5 PMs to shake hand to their country president only
pm1 shakes hand with $p_{1}$
pm2 shakes hand with $p_{2}$
pm3 shakes hand with $p_{3}$
pm4 shakes hand with $p_{4}$
pm5 shakes hand with $p_{5}$
This can be done only 1 way.

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