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2000 AMC 12 Question 25

AMC12 · 2000 AMC 12

Question 25

Eight congruent equilateral triangles, each of a different color, are used to construct a regular octahedron. How many distinguishable ways are there to construct the octahedron? (Two colored octahedrons are distinguishable if neither can be rotated to look just like the other.)

Question illustration
  1. $210$
  2. $560$
  3. $840$
  4. $1260$
  5. $1680$