Factorials Practice

Front

What is a factorial?

Back

A factorial, denoted as n!, is the product of all positive integers from 1 to n. For example, 5! = 5 × 4 × 3 × 2 × 1 = 120.

Front

What is the value of 0! ?

Back

0! = 1 by definition.

Front

How do you calculate n! for n = 4?

Back

4! = 4 × 3 × 2 × 1 = 24.

Front

What is the explicit formula for the factorial of n?

Back

n! = n × (n-1)!.

Front

What is the relationship between (n+1)! and n!?

Back

(n+1)! = (n+1) × n!.

Front

Calculate 3! + 2!

Back

3! + 2! = 6 + 2 = 8.

Front

What is the factorial of a negative number?

Back

Factorials are not defined for negative integers.

Front

If n = 5, what is (2n)! ?

Back

(2n)! = (2*5)! = 10! = 3628800.

Front

What is the formula for combinations using factorials?

Back

C(n, r) = n! / (r! * (n-r)!).

Front

What is the value of 5! / 3! ?

Back

5! / 3! = (5 × 4 × 3!) / 3! = 5 × 4 = 20.