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A cat invites 3 rats and 4 cockroaches for dinner. How many

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A cat invites 3 rats and 4 cockroaches for dinner. How many [#permalink] New post 05 Dec 2003, 09:40
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A cat invites 3 rats and 4 cockroaches for dinner. How many seating arrangements are possible along a round table? Assume that animals of a species all look alike.

The answer is:

7!/(3!4!) = 35 ways

This is another concept question I have. I understand the 7! as being the total number of possible ways to seat people around the table, but where do we get 3! and 4!. It must represent rats and cockroaches, but why do we plug this value under 7! ? What does these values in effect mean?

Thanks,
CJ
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Re: Circular [#permalink] New post 05 Dec 2003, 09:53
csperber wrote:
A cat invites 3 rats and 4 cockroaches for dinner. How many seating arrangements are possible along a round table? Assume that animals of a species all look alike.

The answer is:

7!/(3!4!) = 35 ways

This is another concept question I have. I understand the 7! as being the total number of possible ways to seat people around the table, but where do we get 3! and 4!. It must represent rats and cockroaches, but why do we plug this value under 7! ? What does these values in effect mean?

Thanks,
CJ



Because all the species look alike there will not be any difference between the first rat and the second rat...
Re: Circular   [#permalink] 05 Dec 2003, 09:53
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A cat invites 3 rats and 4 cockroaches for dinner. How many

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