Finite Math Examples

Find the Number of Possibilities 5 choose 1
C15
Step 1
Evaluate C15 using the formula Crn=n!(n-r)!r!.
5!(5-1)!1!
Step 2
Subtract 1 from 5.
5!(4)!1!
Step 3
Simplify 5!(4)!1!.
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Step 3.1
Rewrite 5! as 54!.
54!(4)!1!
Step 3.2
Cancel the common factor of 4!.
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Step 3.2.1
Cancel the common factor.
54!(4)!1!
Step 3.2.2
Rewrite the expression.
51!
51!
Step 3.3
Expand 1! to 1.
51
Step 3.4
Divide 5 by 1.
5
5
(
(
)
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|
|
[
[
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]
7
7
8
8
9
9
4
4
5
5
6
6
/
/
^
^
×
×
>
>
α
α
µ
µ
1
1
2
2
3
3
-
-
+
+
÷
÷
<
<
σ
σ
!
!
,
,
0
0
.
.
%
%
=
=
 [x2  12  π  xdx ]