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Q.

The number of ways in which a couple can sit around a table with 6 guests if the couple take consecutive seats is

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a

1440

b

720

c

5040

d

None of these

answer is A.

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Detailed Solution

6 guests are there and the couple (H,W) has to be seated consecutively.
Let's permute the 6 guests and (H,W) block bound together .This can be done in 77! ways using the formula of circular probability.
Further the (H,W) can be permuted on their own.
Hence total no. of ways of couple taking consecutive seats =

\frac{7!}{7}

×2 = 720×2 = 1440
Hence 1 is the correct option.

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