Actuarial Notes

SOA Exam P Sample Question 97

Study guide: Exam P-1

Thirty items are arranged in a 6-by-5 array as shown.

A_{1} A_{2} A_{3} A_{4} A_{5}
A_{6} A_{7} A_{8} A_{9} A_{10}
A_{11} A_{12} A_{13} A_{14} A_{15}
A_{16} A_{17} A_{18} A_{19} A_{20}
A_{21} A_{22} A_{23} A_{24} A_{25}
A_{26} A_{27} A_{28} A_{29} A_{30}

Calculate the number of ways to form a set of three distinct items such that no two of the selected items are in the same row or same column.

  • A) 200
  • B) 760
  • C) 1200
  • D) 4560
  • E) 7200

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