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2017 AMC 10B Question 20

AMC10 · 2017 AMC 10B

Question 20

The number $21!$ $=51{,}090{,}942{,}171{,}709{,}440{,}000$ has over $60{,}000$ positive integer divisors. One of them is chosen at random. What is the probability that it is odd?
  1. $\dfrac{1}{21} $
  2. $\dfrac{1}{19} $
  3. $\dfrac{1}{18} $
  4. $\dfrac{1}{2} $
  5. $\dfrac{11}{21} $