diff --git a/education/mathematics/binomial-theorem.html b/education/mathematics/binomial-theorem.html new file mode 100644 index 0000000..51559fd --- /dev/null +++ b/education/mathematics/binomial-theorem.html @@ -0,0 +1,37 @@ + + +

Fundamental Principle

+

The product of first n positive integer, can be called as n factorial, and noted as n!

+
+
+

Note, the special case defined, 

+
+

 

+

When we pick r objects from n objects, if the order matters, it is called as permutation, and we notate it as nPr.

+
+
+

 

+

If the order is unimportant, we can use combination, which is nCr.

+

The extra r! is the permutation in the specific set drawn out.

+
+
+

 

+
+
+
+

 

+

Note,

+
+

There will be n+1 th term.

+

The sum of power of x and y will equal to n.

+

The r+1 th term can be called as the general term, in the descending power of x.

+
+

The coefficients, r=0, 1 … are called binomial coefficients.