A total of 100 students are taking a history exam. Each student is required to write an essay on one of six possible topics. What is the fewest possible number of students who could have chosen the topic selected by most students

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02-12-2021
Mathematics

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A total of 100 students are taking a history exam. Each student is required to write an essay on one of six possible topics. What is the fewest possible number of students who could have chosen the topic selected by most students

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oladayoademosu oladayoademosu · Answer 1 · 2021-12-04T14:32:09+01:00

The fewest number of students who could have chosen the topic selected by most students is 17.

Since there are six essays and each student is required to write an essay on one of the six topics, the probability of choosing one of the six topic is

P(one topic) = one topic/total number of topics

= 1/6.

Since we have 100 students, the fewest number of students that could choose the topic selected by most students is

n = Probability of selecting one topic × total number of students

= P(one topic) × 100

= 1/6 × 100

= 16.67

≅ 17 students.

So, the fewest number of students who could have chosen the topic selected by most students is 17.

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