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How many points will be on the face opposite to in face which contains 2 points?

Question

How many points will be on the face opposite to in face which contains 2 points?

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Solution

To answer the question, we need to understand the points and their arrangement on a cube.

In the context of a standard cube, each of the six faces can hold distinct points. The face that contains 2 points has points on only that face, and since it is opposite another face, we can ascertain how many points could potentially be on that opposite face.

Assuming no face can contain more than two points and that the maximum number of points is distributed uniformly across all faces, the face opposite the one containing 2 points can have points as well. However, if we follow standard norms in such problems, we often state that each face should not hold the same number of points unless otherwise specified.

Thus, if one face contains 2 points, the opposite face can contain 0 or other points (2 or a maximum based on the total, if specified).

In conclusion, under standard assumptions:

  • 0 points could be on the opposite face if we consider only that the stated face contains points.
  • However, if the points are uniformly distributed and we allow for the maximum arrangement, then the opposite face could also potentially contain 2 points.

Therefore, the maximum possible number of points on the face opposite to the face that contains 2 points can typically be defined, but the exact number depends on additional constraints given in a specific context.

If there are no further specifications, we can say that there may be 0 to potentially 2 points on the opposite face.

This problem has been solved

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