Finite Math Examples

Find the Number of Possibilities 100 choose 7
Step 1
Evaluate using the formula .
Step 2
Subtract from .
Step 3
Simplify .
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Step 3.1
Rewrite as .
Step 3.2
Cancel the common factor of .
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Step 3.2.1
Cancel the common factor.
Step 3.2.2
Rewrite the expression.
Step 3.3
Simplify the numerator.
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Step 3.3.1
Multiply by .
Step 3.3.2
Multiply by .
Step 3.3.3
Multiply by .
Step 3.3.4
Multiply by .
Step 3.3.5
Multiply by .
Step 3.3.6
Multiply by .
Step 3.4
Simplify the denominator.
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Step 3.4.1
Expand to .
Step 3.4.2
Multiply .
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Step 3.4.2.1
Multiply by .
Step 3.4.2.2
Multiply by .
Step 3.4.2.3
Multiply by .
Step 3.4.2.4
Multiply by .
Step 3.4.2.5
Multiply by .
Step 3.4.2.6
Multiply by .
Step 3.5
Divide by .