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10 Oct 2011, 10:20
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Hi there everyone,
Was wondering if someone could help me with a permutations question.
Six children, Arya, Betsy, Chen, Daniel, Emily and Franco, are to be seated in a single row of six chairs. If Betsy cannot sit next to Emily, how many different arrangements of the six children are possible?
A) 240
B) 480
C) 540
D) 720
E) 840
I figured that if it wasn't for the condition, the answer would be 6!. There are 10 ways Besty and Emily could be next to each other (5 ways BE, and 5 ways EB). So 6!/10=72 but it's not one of the answers.
The other way I can think of solving it would be to do 6! - 2(5!) which gives 480, a possible option. My reasoning here would be 6! is the total options, minus the number of permutations if we clumped EB or BE together.
If anyone can make this a bit clearer to me it would be very greatly appreciated!
Cheers,
Francis
Cheers,
Francis
Was wondering if someone could help me with a permutations question.
Six children, Arya, Betsy, Chen, Daniel, Emily and Franco, are to be seated in a single row of six chairs. If Betsy cannot sit next to Emily, how many different arrangements of the six children are possible?
A) 240
B) 480
C) 540
D) 720
E) 840
I figured that if it wasn't for the condition, the answer would be 6!. There are 10 ways Besty and Emily could be next to each other (5 ways BE, and 5 ways EB). So 6!/10=72 but it's not one of the answers.
The other way I can think of solving it would be to do 6! - 2(5!) which gives 480, a possible option. My reasoning here would be 6! is the total options, minus the number of permutations if we clumped EB or BE together.
If anyone can make this a bit clearer to me it would be very greatly appreciated!
Cheers,
Francis
Cheers,
Francis
Archived Topic
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 Problem Solving (PS) Forum
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10 Oct 2011, 11:39
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You have posted the question in the wrong forum. It should have been posted in the PS sub-forum.
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Please post PS questions in the PS sub-forum: gmat-problem-solving-ps-140/ Please post DS questions in the DS sub-forum: gmat-data-sufficiency-ds-141/ No posting of PS/DS questions is allowed in the main Math forum. |
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Critical Reasoning(CR): gmat-critical-reasoning-cr-139/ Reading Comprehension(RC): gmat-reading-comprehension-rc-137/ Sentence Correction(SC): gmat-sentence-correction-sc-138/ Analytical Writing And Assessment: analytical-writing-assessment-awa-144/ Please DO NOT post any question in main Verbal forum: verbal-gmat-questions-11/ |
23 Oct 2017, 03:38
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OPEN DISCUSSION OF THIS QUESTION IS HERE: six-children-arya-betsy-chen-daniel-emily-and-franco-are-to-be-210939.html
Archived Topic
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 Problem Solving (PS) 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!
