Factorials
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GRE Quantitative Reasoning › Factorials
Evaluate:
Explanation
Step 1: Write in multiplication form:
Step 2: Multiply Out
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:
Evaluate:
Explanation
Step 1: Evaluate
Factorial-Multiply the number in front of the exclamation point by every number below until I hit
Evaluate:
Explanation
Step 1: Evaluate the parentheses first
Step 2: Multiply the outside by the final value in Step 1..
Evaluate:
Explanation
Step 1: Find
Step 2: Find
Step 3: Subtract the values from step 1 and step 2:
The answer is
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
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
Evaluate:
None of the other answers
Explanation
Evaluate :
Evaluate :
Evaluate :
Evaluate:
Explanation
Step 1: Evaluate
Step 2: Evaluate
Step 3: Evaluate
Step 4: Evaluate
Step 5: Add/Subtract values:
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