Understanding Factorials

What is the factorial of 3?

• 9

• 6

• 12

• 3

How do you calculate 5 factorial?

• 5 x 4 x 3 x 2 x 1

• 5 x 4 x 3

• 5 + 4 x 3

• 5 + 4 + 3 + 2 + 1

What is the value of 6 factorial?

• 120

• 360

• 720

• 840

Why do factorials grow rapidly?

• Because they involve division

• Because they involve subtraction

• Because they involve multiplication

• Because they involve addition

How do you calculate n factorial?

• Start at n and subtract all numbers below it

• Start at n and add all numbers below it

• Start at n and divide by all numbers below it

• Start at n and multiply by all numbers below it

What is the first step in calculating n+2 factorial?

• Start at n+2

• Start at n-1

• Start at n+1

• Start at n

When simplifying 7 factorial divided by 3 factorial, what terms cancel out?

• 6, 5, 4

• 5, 4, 3

• 3, 2, 1

• 7, 6, 5

In the expression 8 factorial divided by 5 factorial, which terms remain after simplification?

• 5, 4, 3

• 7, 6, 5

• 8, 7, 6

• 6, 5, 4

What is the key to simplifying factorial expressions?

• Multiplying terms

• Dividing terms

• Adding terms

• Canceling common terms

In general, when simplifying n+1 factorial over n-1 factorial, which terms do not cancel?

• n+1, n

• n-1, n-2

• n+2, n+1

• n, n-1