# Find the Number of Possibilities twenty choose ten

Evaluate using the formula .

Subtract from .

Rewrite as .

Cancel the common factor of .

Cancel the common factor.

Rewrite the expression.

Simplify the numerator.

Multiply by .

Multiply by .

Multiply by .

Multiply by .

Multiply by .

Multiply by .

Multiply by .

Multiply by .

Multiply by .

Simplify the denominator.

Expand to .

Simplify.

Multiply by .

Multiply by .

Multiply by .

Multiply by .

Multiply by .

Multiply by .

Multiply by .

Multiply by .

Multiply by .

Divide by .

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