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Maths · Populations and samples

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A sports club has 300300 members, divided into age groups. A stratified sample of 4040 members is taken: the number chosen from an age group is (number in that group) ×40300\times \frac{40}{300}, rounded to the nearest whole number. Exactly 55 members of the sample come from the Under-18 group. How many different possible sizes could the Under-18 group be?

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