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KoolSIM
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Talk show host Ralph has exactly 1 guest on his show 17 May 2007, 12:14
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Talk show host Ralph has exactly 1 guest on his show everyday and his show airs every Monday through Friday. He always has Politicians on Mondays and Wednesdays and athletes on Thursdays and actors on Tuesdays but can have a guest of any one of these kinds on fridays. no guest appears more than once a week on his show. If he has 5 politicians, 3 actors and 6 athletes he could invite and if no politician is also an actor or an athlete and if no actor is also an athlete, how many different schedules of guests from monday thru friday could he create?


I don't have the options....... So I would like to see the working... Thanks!



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Talk show host Ralph has exactly 1 guest on his show 17 May 2007, 12:54
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5C2*2*3C1*6C1*10C1 = 3600

5C2*2=Politicians
3C1=Actors
6C1=Athletes
10C1=Rest of Junta
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Himalayan
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Talk show host Ralph has exactly 1 guest on his show 17 May 2007, 19:40
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KoolSIM
Talk show host Ralph has exactly 1 guest on his show everyday and his show airs every Monday through Friday. He always has Politicians on Mondays and Wednesdays and athletes on Thursdays and actors on Tuesdays but can have a guest of any one of these kinds on fridays. no guest appears more than once a week on his show. If he has 5 politicians, 3 actors and 6 athletes he could invite and if no politician is also an actor or an athlete and if no actor is also an athlete, how many different schedules of guests from monday thru friday could he create?


I don't have the options....... So I would like to see the working... Thanks!
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= 5c1 x 3c1 x 4c1 x 6 c1 x 10c1
= 3600
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Talk show host Ralph has exactly 1 guest on his show 18 May 2007, 04:06
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My approach-

On Monday, available opportunities= 5
On Tuesday, available opportunities= 3
On Wednesday, available opportunities= 4 (as no repetition allowed)

On Thursday, available opportunities= 6
On Friday, available opportunities= 14-4 = 10(as no repetition allowed)
So total number of ways = 5*3*4*6*10 = 3600
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Talk show host Ralph has exactly 1 guest on his show 18 May 2007, 14:34
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KoolSIM
Talk show host Ralph has exactly 1 guest on his show everyday and his show airs every Monday through Friday. He always has Politicians on Mondays and Wednesdays and athletes on Thursdays and actors on Tuesdays but can have a guest of any one of these kinds on fridays. no guest appears more than once a week on his show. If he has 5 politicians, 3 actors and 6 athletes he could invite and if no politician is also an actor or an athlete and if no actor is also an athlete, how many different schedules of guests from monday thru friday could he create?


I don't have the options....... So I would like to see the working... Thanks!
Show more


there are 14 people.

Since we are looking at schedules, order is important

Number of ways to arrange politicians = 5P2 = 20
Number of ways to arrange actors = 3P1 = 3
Number of ways to arrange Athletes = 6P1 = 6
Number to arrange remaining 10 people in 10 places = 10

So all ways = 20 x 3 x 6 x 10 = 3600



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Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Where to now? Join ongoing discussions on thousands of quality questions in our Quantitative Questions Forum
Still interested in this question? Check out the "Best Topics" block above for a better discussion on this exact question, as well as several more related questions.
Thank you for understanding, and happy exploring!