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Evaluate the factorial expression 20!/ 17!(3-1)! Choose the correct answer from the options below a. 190 b. 1368 c. 3420 d. 58140

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Answer:

  • c. 3420

--------------------------

n! is called the factorial of n and shown as the product of the integers from 1 to n:

  • n! = n * (n - 1) * (n - 2) *...* 3 * 2 * 1

The given expression can be evaluated as:

  • 20! / [ 17! (3 - 1)!] =
  • 20*19*18 * 17! / (17!2!) =
  • 20*19*18/2 =
  • 3420

Hence the correct choice is c.

User Keith Jackson
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