Finite Math Examples

Find the Number of Possibilities 12 choose 10
C1012
Step 1
Evaluate C1012 using the formula Crn=n!(n-r)!r!.
12!(12-10)!10!
Step 2
Subtract 10 from 12.
12!(2)!10!
Step 3
Simplify 12!(2)!10!.
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Step 3.1
Rewrite 12! as 121110!.
121110!(2)!10!
Step 3.2
Cancel the common factor of 10!.
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Step 3.2.1
Cancel the common factor.
121110!(2)!10!
Step 3.2.2
Rewrite the expression.
1211(2)!
1211(2)!
Step 3.3
Multiply 12 by 11.
132(2)!
Step 3.4
Simplify the denominator.
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Step 3.4.1
Expand (2)! to 21.
13221
Step 3.4.2
Multiply 2 by 1.
1322
1322
Step 3.5
Divide 132 by 2.
66
66
 [x2  12  π  xdx ]