Question

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

Answer 1

• c. 3420

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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.