Difference between revisions of "2021 Fall AMC 10A Problems/Problem 24"

(Created page with "==Problem== Each of the <math>12</math> edges of a cube is labeled <math>0</math> or <math>1</math>. Two labelings are considered different even if one can be obtained from th...")
 
Line 5: Line 5:
  
 
==Solution==
 
==Solution==
 +
 +
==See Also==
 +
{{AMC10 box|year=2021 Fall|ab=A|num-b=23|num-a=25}}
 +
{{MAA Notice}}

Revision as of 17:44, 23 November 2021

Problem

Each of the $12$ edges of a cube is labeled $0$ or $1$. Two labelings are considered different even if one can be obtained from the other by a sequence of one or more rotations and/or reflections. For how many such labelings is the sum of the labels on the edges of each of the $6$ faces of the cube equal to $2$?

$\textbf{(A) } 8 \qquad\textbf{(B) } 10 \qquad\textbf{(C) } 12 \qquad\textbf{(D) } 16 \qquad\textbf{(E) } 20$

Solution

See Also

2021 Fall AMC 10A (ProblemsAnswer KeyResources)
Preceded by
Problem 23
Followed by
Problem 25
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 AMC 10 Problems and Solutions

The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions. AMC logo.png