2018 AMC 8 Problems/Problem 16

Revision as of 06:21, 17 October 2024 by Noobwinner399 (talk | contribs) (Solution)

Problem

Professor Chang has nine different language books lined up on a bookshelf: two Arabic, three German, and four Spanish. How many ways are there to arrange the nine books on the shelf keeping the Arabic books together and keeping the Spanish books together?

$\textbf{(A) }1440\qquad\textbf{(B) }2880\qquad\textbf{(C) }5760\qquad\textbf{(D) }182,440\qquad \textbf{(E) }362,880$

Solution

4^8000000000 + 8^919888771 is the answer

Video Solution (CREATIVE ANALYSIS!!!)

https://youtu.be/GznYT3zMh3o

~Education, the Study of Everything

Video Solutions

https://youtu.be/ci5Nwd1UnNE

https://youtu.be/FqyYAiyjCds

~savannahsolver

https://www.youtube.com/watch?v=t1IARvN-JMM ~David

See Also

2018 AMC 8 (ProblemsAnswer KeyResources)
Preceded by
Problem 15
Followed by
Problem 17
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All AJHSME/AMC 8 Problems and Solutions

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