Q.

20 persons are invited for a party. In how many different ways can they and the host be seated at circular table, if the two particular persona are to be seated on either side of the host?

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a

20!

b

2.18!

c

18!

d

None of these

answer is B.

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Detailed Solution

There are total 20 + 1=21 persons. The two particular persons and the host be taken as one unit so that theseremains  21 -3+1=19 persons be arranged in round table in 18! ways, But the two persons on either sides ofthe host can themselves be arranged in 2! ways.Required number of ways = 2! x 18! = 2.18!
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