The chairs in this school hall in Jaipur must be rearranged into equal rows, with at least 3 and at most 10 chairs in each row and no chair left over. In how many different ways can this be done (the present way counts)?

Question

Accepted Answer

4. There are 5 × 6 = 30 chairs. Row sizes must be factors of 30 from 3 to 10: 3, 5, 6, 10. So 4 ways. (8 counts all factors of 30, including 1, 2, 15 and 30.)

The chairs in this school hall in Jaipur must be rearranged into equal rows, with at least 3 and at most 10 chairs in each row and no chair left over. In how many different ways can this be done (the present way counts)?

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