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 @@ + + +
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.