Question Simplify the expression $3!$ .

Studdy Solution

STEP 1

1. The expression $3!$ denotes the factorial of 3, which is the product of all positive integers from 1 to 3.

STEP 2

1. Understand the definition of factorial.
2. Calculate the factorial of 3.

STEP 3

Understand the definition of factorial.
The factorial of a non-negative integer $n$ , denoted by $n!$ , is the product of all positive integers less than or equal to $n$ . That is:
$n! = n \times (n-1) \times (n-2) \times \ldots \times 2 \times 1$

STEP 4

Calculate the factorial of 3.
Using the definition of factorial:
$3! = 3 \times 2 \times 1$

STEP 5

Perform the multiplication to find the value of $3!$ .
$3! = 3 \times 2 \times 1 = 6$
The simplified form of $3!$ is $6$ .

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