Question Detail

STA 112 PERMUTATIONS AND COMBINATIONS Objective Question

Question

What is the value of 6! / 3!?
Options
A 3!
B 6
C 120
Correct Answer
D 720
Correct Answer

Option C is the correct answer.

Detailed Explanation

The factorial n! is the product of all positive integers up to n.6! = 6 × 5 × 4 × 3 × 2 × 1 = 720.3! = 3 × 2 × 1 = 6.So, 6! / 3! = 720 / 6 = 120.

Hint

Expand the factorials and then simplify the fraction.

Question Info