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09 Feb 2008, 14:21
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Six People are on an elevator that stops at exactly six floors.
What is the probability that exactly one person will push the button for each floor?
(A) 6!/6^6
(B) 6^6 /6!
(C) 6/6!
(D) 6/6^6
(E) 1/6^6
What is the probability that exactly one person will push the button for each floor?
(A) 6!/6^6
(B) 6^6 /6!
(C) 6/6!
(D) 6/6^6
(E) 1/6^6
Archived Topic
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This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
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09 Feb 2008, 14:33
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A.
\(p=\frac{6}{6}*\frac{5}{6}*\frac{4}{6}*\frac{3}{6}*\frac{2}{6}*\frac{1}{6}=\frac{6!}{6^6}\)
or
\(p=\frac{P^6_6}{6^6}=\frac{6!}{6^6}\)
where
\(P^6_6\)- the number of options with 6 floors.
\(6^6\)- the total number of options (each person have 6 non-restrictive options to choose a floor).
\(p=\frac{6}{6}*\frac{5}{6}*\frac{4}{6}*\frac{3}{6}*\frac{2}{6}*\frac{1}{6}=\frac{6!}{6^6}\)
or
\(p=\frac{P^6_6}{6^6}=\frac{6!}{6^6}\)
where
\(P^6_6\)- the number of options with 6 floors.
\(6^6\)- the total number of options (each person have 6 non-restrictive options to choose a floor).
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!
