Actuarial Notes

SOA Exam P Sample Question 524

Study guide: Exam P-1

In a group of 35 patients, 9 have high blood pressure, 9 have high cholesterol, and 15 have high blood pressure or high cholesterol.

From these 35 patients, a doctor needs to select a group of 8 patients for a test in which exactly 4 have high blood pressure only, exactly 1 has high cholesterol only, and exactly 2 have both high blood pressure and high cholesterol.

Calculate the number of different groups the doctor can select for this test.

  • A) 90
  • B) 270
  • C) 5{,}400
  • D) 47{,}628
  • E) 238{,}140

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Concepts tested

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