Finite Math Examples

Evaluate (13!)/(10!*3!)
13!10!3!
Step 1
Rewrite 13! as 13121110!.
13121110!10!3!
Step 2
Cancel the common factor of 10!.
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Step 2.1
Cancel the common factor.
13121110!10!3!
Step 2.2
Rewrite the expression.
1312113!
1312113!
Step 3
Simplify the numerator.
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Step 3.1
Multiply 13 by 12.
156113!
Step 3.2
Multiply 156 by 11.
17163!
17163!
Step 4
Simplify the denominator.
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Step 4.1
Expand 3! to 321.
1716321
Step 4.2
Multiply 321.
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Step 4.2.1
Multiply 3 by 2.
171661
Step 4.2.2
Multiply 6 by 1.
17166
17166
17166
Step 5
Divide 1716 by 6.
286
 [x2  12  π  xdx ]