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Re: Talk show host Ralph Burke has exactly one guest on his sho [#permalink]
I didn't think it would be that simple, was the question trying to lead us by giving us the extraneous information "if no politician is also an actor or an athlete and no actor is also an athlete?"

Why does that not change the number of people for Friday, since it seems that there is an overlap in our set of people?
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Re: Talk show host Ralph Burke has exactly one guest on his sho [#permalink]
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QuantumWonder wrote:
I didn't think it would be that simple, was the question trying to lead us by giving us the extraneous information "if no politician is also an actor or an athlete and no actor is also an athlete?"

Why does that not change the number of people for Friday, since it seems that there is an overlap in our set of people?


Hi..

the information is required "if no politician is also an actor or an athlete and no actor is also an athlete?"
Had there been an overlap, the answer would have become more complex.

There are 2 different days for politician so any one of 5 goes on Monday, any one of the remaining 4 on wednesday - so 5*4
There is 1 different day for actor, so any of 3 goes on Tuesday - so 3
There is 1 different day for athlete, so any of 6 goes on Thursday - so 6
Now any of the remaining of above can be called on friday so any one of remaining (3+2+5)=10

hence answer - 5*4*3*6*10=3600
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Re: Talk show host Ralph Burke has exactly one guest on his sho [#permalink]
chetan2u wrote:
QuantumWonder wrote:
I didn't think it would be that simple, was the question trying to lead us by giving us the extraneous information "if no politician is also an actor or an athlete and no actor is also an athlete?"

Why does that not change the number of people for Friday, since it seems that there is an overlap in our set of people?


Hi..

the information is required "if no politician is also an actor or an athlete and no actor is also an athlete?"
Had there been an overlap, the answer would have become more complex.

There are 2 different days for politician so any one of 5 goes on Monday, any one of the remaining 4 on wednesday - so 5*4
There is 1 different day for actor, so any of 3 goes on Tuesday - so 3
There is 1 different day for athlete, so any of 6 goes on Thursday - so 6
Now any of the remaining of above can be called on friday so any one of remaining (3+2+5)=10

hence answer - 5*4*3*6*10=3600


I see, I think I didn't read very carefully and didn't notice they were implying it was a mutually exclusive set. This definitely allows us to solve more easily.

Thank you!
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Re: Talk show host Ralph Burke has exactly one guest on his sho [#permalink]
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Re: Talk show host Ralph Burke has exactly one guest on his sho [#permalink]
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