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If they can stand in rows of 5 the total number must be a multiple of 5. Also, if they can stand in rows of 6 the total number must be a multiple of 6. The smallest such number is the least common multiple of 5 and 6, which is 30.

So there can by 6 rows of 5-in-a-row or 5 rows of 6-in-a-row.

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Q: If in the drama club picture the students must line up in rows with the same number of students describe the arrangements for the least number of people needed to be able to line up in rows of 5 or 6?
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