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Circular Permutation

20 persons ar...

Question

$20$ persons are invited for a party, then the number of ways in which they and the host be seated at a round table is

A

20!

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B

21!

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C

22!

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D

2.20!

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Solution

The correct option is A 20!
Total no. of persons including host are $(20 + 1)$
As they have to sit in round table, the required permutation is $(n - 1)!$
$= (20 + 1 - 1)!$
$= 20!$

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