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Is it possible to divide 48 chorus singers into equal groups that meet the requirements?

a) No, there are no factor pairs of 48 that meet the requirements.
b) Yes, you can divide the singers into 4 groups of 12.
c) Yes, you can divide the singers into 6 groups of 8.
d) Yes, you can divide the singers into 8 groups of 6.

1 Answer

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Final answer:

It is indeed possible to divide 48 chorus singers into equal groups in multiple ways, such as 4 groups of 12, 6 groups of 8, or 8 groups of 6, since 48 has several factors that allow equal groupings.

Step-by-step explanation:

The question seems to refer to the possible ways of dividing 48 chorus singers into equal groups. To find out if it is possible to divide 48 chorus singers into equal groups, we must look at the factors of 48. The factors of 48 are 1, 2, 3, 4, 6, 8, 12, 16, 24, and 48. So, it is indeed possible to divide the singers into equal groups in multiple ways, which include:

  • 4 groups of 12 singers each.
  • 6 groups of 8 singers each.
  • 8 groups of 6 singers each.

All these divisions meet the requirement of having equal groups. Therefore, the correct answers are b) Yes, you can divide the singers into 4 groups of 12, c) Yes, you can divide the singers into 6 groups of 8, and d) Yes, you can divide the singers into 8 groups of 6.

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