The Round Table

Jack and Jill were sitting in Banerjee’s Hindu Restaurant at a round table with seven persons, enjoying a delicious chicken tikki masala with spicy papadums and a fine wine, when the owner, a Mr. Banerjee, approached them with a wide smile.

“I am so happy to see such a handsome couple like you eating in my restaurant. To show my appreciation, I will set you a small task. If you can tell me how many different ways there are to arrange the seven people around this table, you of course in the same position, the meals at this table will be on the house. I will give you some time to consult. Please write down your answers on your bills. If correct, there will be no charge.”

What is the number needed for obtaining a free meal?

What would the number be if Jack and Jill were not required to sit together.


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