Finite Math Examples

Find the Number of Possibilities 52 choose 26
Step 1
Evaluate using the formula .
Step 2
Subtract from .
Step 3
Simplify .
Tap for more steps...
Step 3.1
Rewrite as .
Step 3.2
Cancel the common factor of .
Tap for more steps...
Step 3.2.1
Cancel the common factor.
Step 3.2.2
Rewrite the expression.
Step 3.3
Simplify the numerator.
Tap for more steps...
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 3.3.7
Multiply by .
Step 3.3.8
Multiply by .
Step 3.3.9
Multiply by .
Step 3.3.10
Multiply by .
Step 3.3.11
Multiply by .
Step 3.3.12
Multiply by .
Step 3.3.13
Multiply by .
Step 3.3.14
Multiply by .
Step 3.3.15
Multiply by .
Step 3.3.16
Multiply by .
Step 3.3.17
Multiply by .
Step 3.3.18
Multiply by .
Step 3.3.19
Multiply by .
Step 3.3.20
Multiply by .
Step 3.3.21
Multiply by .
Step 3.3.22
Multiply by .
Step 3.3.23
Multiply by .
Step 3.3.24
Multiply by .
Step 3.4
Simplify the denominator.
Tap for more steps...
Step 3.4.1
Expand to .
Step 3.4.2
Multiply .
Tap for more steps...
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 3.4.2.7
Multiply by .
Step 3.4.2.8
Multiply by .
Step 3.4.2.9
Multiply by .
Step 3.4.2.10
Multiply by .
Step 3.4.2.11
Multiply by .
Step 3.4.2.12
Multiply by .
Step 3.4.2.13
Multiply by .
Step 3.4.2.14
Multiply by .
Step 3.4.2.15
Multiply by .
Step 3.4.2.16
Multiply by .
Step 3.4.2.17
Multiply by .
Step 3.4.2.18
Multiply by .
Step 3.4.2.19
Multiply by .
Step 3.4.2.20
Multiply by .
Step 3.4.2.21
Multiply by .
Step 3.4.2.22
Multiply by .
Step 3.4.2.23
Multiply by .
Step 3.4.2.24
Multiply by .
Step 3.4.2.25
Multiply by .
Step 3.5
Cancel the common factor of and .
Tap for more steps...
Step 3.5.1
Factor out of .
Step 3.5.2
Cancel the common factors.
Tap for more steps...
Step 3.5.2.1
Factor out of .
Step 3.5.2.2
Cancel the common factor.
Step 3.5.2.3
Rewrite the expression.
Step 3.6
Cancel the common factor of and .
Tap for more steps...
Step 3.6.1
Factor out of .
Step 3.6.2
Cancel the common factors.
Tap for more steps...
Step 3.6.2.1
Factor out of .
Step 3.6.2.2
Cancel the common factor.
Step 3.6.2.3
Rewrite the expression.
Step 3.6.2.4
Divide by .
Step 3.7
Multiply by .