Question

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

• A. 1440
• B. 720
• C. 5040
• D. none of these

Answer 1

The correct option is A 1440

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 $\frac{7!}{7}$ ways using the formula of circular probability.
Further the (H,W) can be permuted in their own.
Hence total no. of ways of couple taking consecutive seats=$\frac{7!}{7}\times 2=720\times 2=1440$