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! (zero factorial)?

Back

0! is defined to be 1.

Front

Calculate 4!

Back

4! = 4 × 3 × 2 × 1 = 24.

Front

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

Back

n! = n × (n-1)!.

Front

Find the value of 5! / 3!

Back

5! / 3! = (5 × 4 × 3 × 2 × 1) / (3 × 2 × 1) = 20.

Front

What is the explicit formula for the sequence defined by a_n = n! ?

Back

The explicit formula is a_n = n!.

Front

If a sequence is defined as a_n = (2n)!, what does this represent?

Back

This represents the factorial of double the term number n.

Front

What is the value of 6! ?

Back

6! = 6 × 5 × 4 × 3 × 2 × 1 = 720.

Front

How do you calculate the factorial of a negative number?

Back

Factorials are not defined for negative integers.

Front

What is the significance of factorials in combinatorics?

Back

Factorials are used to calculate permutations and combinations.