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Finite Math Examples
C330
Step 1
Evaluate C330 using the formula Crn=n!(n-r)!r!.
30!(30-3)!3!
Step 2
Subtract 3 from 30.
30!(27)!3!
Step 3
Step 3.1
Rewrite 30! as 30⋅29⋅28⋅27!.
30⋅29⋅28⋅27!(27)!3!
Step 3.2
Cancel the common factor of 27!.
Step 3.2.1
Cancel the common factor.
30⋅29⋅28⋅27!(27)!3!
Step 3.2.2
Rewrite the expression.
30⋅29⋅283!
30⋅29⋅283!
Step 3.3
Simplify the numerator.
Step 3.3.1
Multiply 30 by 29.
870⋅283!
Step 3.3.2
Multiply 870 by 28.
243603!
243603!
Step 3.4
Simplify the denominator.
Step 3.4.1
Expand 3! to 3⋅2⋅1.
243603⋅2⋅1
Step 3.4.2
Multiply 3⋅2⋅1.
Step 3.4.2.1
Multiply 3 by 2.
243606⋅1
Step 3.4.2.2
Multiply 6 by 1.
243606
243606
243606
Step 3.5
Divide 24360 by 6.
4060
4060