Factorials

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GRE Quantitative Reasoning › Factorials

Questions 1 - 10
1

Evaluate:

Explanation

Step 1: Write in multiplication form:

Step 2: Multiply Out

2

Simplify the following expression:

Explanation

Recall that ! means factorial in math. This means we multiply the number by all positive integers less than itself. In other words, this...

Becomes

This is a great job for a calculator, which yields:

3

Evaluate:

Explanation

Step 1: Evaluate
Factorial-Multiply the number in front of the exclamation point by every number below until I hit

4

Evaluate:

Explanation

Step 1: Evaluate the parentheses first

Step 2: Multiply the outside by the final value in Step 1..

5

Evaluate:

Explanation

Step 1: Find

Step 2: Find

Step 3: Subtract the values from step 1 and step 2:

The answer is

6

What is ?

Explanation

Step 1: Recall definition of factorial...

Factorial is a mathematical expression where you multiply by every number below it until I hit . To find each number, subtract from the previous number

Step 2: Write out

7

Evaluate:

Explanation

Step 1: Define Factorial

Factorial is a mathematical expression which you multiply the number in front of the exclamation point by every number below it until you hit 1..

Step 2: Evaluate


8

Evaluate:

None of the other answers

Explanation

Evaluate :

Evaluate :

Evaluate :

9

Evaluate:

Explanation

Step 1: Evaluate

Step 2: Evaluate

Step 3: Evaluate

Step 4: Evaluate

Step 5: Add/Subtract values:

10

Evaluate:

Explanation

Step 1: Evaluate each factorial expression separately...



Step 2: Take the evaluation of each expression and apply the operations in the problem:

So, we get

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