Math  /  Numbers & Operations

QuestionEvaluate the factorial expression. (115)!(115)!=\begin{array}{l} (11-5)! \\ (11-5)!=\square \end{array}

Studdy Solution

STEP 1

What is this asking? We need to calculate the factorial of the difference between 11 and 5. Watch out! Remember the order of operations – we subtract before we calculate the factorial.

STEP 2

1. Simplify the Difference
2. Calculate the Factorial

STEP 3

Alright, let's **kick things off**!
Inside the parentheses, we have 11511 - 5.
This simplifies to 115=611 - 5 = 6.
So, our expression becomes 6!6!.

STEP 4

Now for the **factorial fun**!
Remember, n!n! (read as "n factorial") means multiplying all positive integers from 1 up to nn.
So, 6!6! means 1234561 \cdot 2 \cdot 3 \cdot 4 \cdot 5 \cdot 6.

STEP 5

Let's **break down the multiplication**: 12=21 \cdot 2 = 2 23=62 \cdot 3 = 664=246 \cdot 4 = 24245=12024 \cdot 5 = 1201206=720120 \cdot 6 = 720Therefore, 6!=7206! = 720.

STEP 6

So, (115)!=6!=720(11-5)! = 6! = 720.
Our **final answer** is 720720.

Was this helpful?

Studdy solves anything!

banner

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

ParentsInfluencer programContactPolicyTerms
TwitterInstagramFacebookTikTokDiscord