Difference between revisions of "2015 AMC 8 Problems/Problem 4"

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https://youtu.be/Zhsb5lv6jCI
 
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==Video Solution==
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==Video Solution 2==
 
https://youtu.be/4sUA1029D14
 
https://youtu.be/4sUA1029D14
  

Revision as of 08:42, 29 March 2022

Problem

The Blue Bird High School chess team consists of two boys and three girls. A photographer wants to take a picture of the team to appear in the local newspaper. She decides to have them sit in a row with a boy at each end and the three girls in the middle. How many such arrangements are possible?

$\textbf{(A) }2\qquad\textbf{(B) }4\qquad\textbf{(C) }5\qquad\textbf{(D) }6\qquad \textbf{(E) }12$

Solution

There are $2$ ways to order the boys on the end, and there are $3!=6$ ways to order the girls in the middle. We get the answer to be $2 \cdot 6 = \boxed{\textbf{(E) }12}$.

Video Solution

https://youtu.be/Zhsb5lv6jCI

Video Solution 2

https://youtu.be/4sUA1029D14

~savannahsolver

See Also

2015 AMC 8 (ProblemsAnswer KeyResources)
Preceded by
Problem 3
Followed by
Problem 5
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25
All AJHSME/AMC 8 Problems and Solutions

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