Is it possible to divide 32 actors into equal groups that meet the requirements below? Requirement 1: There must be at least 2 groups. Requirement 2: There must be at least 6 actors in each group. Requirement 3: There must be less than 8 actors in each group.

The correct answer is NO.

Step-by-step explanation:

There are total 32 actors. We need to divide the actors into equal groups.

Requirement 1: There must be at least 2 groups.

Requirement 2: There must be at least 6 actors in each group.

Requirement 3: There must be less than 8 actors in each group.

If we make groups of 6 actors each (group should have at least 6 actors), we will have 5 equal groups but would be left with 2 actors. This would violate requirements 2 as well as 3.

If we make groups of 7 actors each, we will have 4 equal groups but would be left with 4 actors. This would again violate requirements 2 as well as 3.

Lastly if we make groups of 8 actors each, we will have 4 equal groups. But this would then violate requirement 3 as each group has less than 8 actors.

Thus we cannot divide 32 actors in equal groups according to the given requirements.

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