If you were asked in how many ways you could pick president, vice president and secretary such that the 1st person: president, 2nd person: vice president, 3rd person: secretary, you would have:
"5P3 = \\frac{5!}{(5-3)!} = \\frac{5!}{2!} = 3 \\times 4 \\times 5 = 60 \\;ways"
Answer: 60 ways
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