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

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==Problem==
 
A cube is constructed from <math>4</math> white unit cubes and <math>4</math> black unit cubes. How many different ways are there to construct the <math>2 \times 2 \times 2</math> cube using these smaller cubes? (Two constructions are considered the same if one can be rotated to match the other.)
 
A cube is constructed from <math>4</math> white unit cubes and <math>4</math> black unit cubes. How many different ways are there to construct the <math>2 \times 2 \times 2</math> cube using these smaller cubes? (Two constructions are considered the same if one can be rotated to match the other.)
  
 
<math>\textbf{(A)}\ 7 \qquad\textbf{(B)}\  8 \qquad\textbf{(C)}\  9 \qquad\textbf{(D)}\
 
<math>\textbf{(A)}\ 7 \qquad\textbf{(B)}\  8 \qquad\textbf{(C)}\  9 \qquad\textbf{(D)}\
 
10 \qquad\textbf{(E)}\ 11</math>
 
10 \qquad\textbf{(E)}\ 11</math>
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==See Also==
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{{AMC10 box|year=2021 Fall|ab=B|num-a=25|num-b=23}}
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{{MAA Notice}}

Revision as of 02:21, 23 November 2021

Problem

A cube is constructed from $4$ white unit cubes and $4$ black unit cubes. How many different ways are there to construct the $2 \times 2 \times 2$ cube using these smaller cubes? (Two constructions are considered the same if one can be rotated to match the other.)

$\textbf{(A)}\ 7 \qquad\textbf{(B)}\  8 \qquad\textbf{(C)}\  9 \qquad\textbf{(D)}\ 10 \qquad\textbf{(E)}\ 11$

See Also

2021 Fall AMC 10B (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

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