Amazing PASCAL's TRIANGLE

What we all know is....
Pascal's Triangle, developed by the French Mathematician Blaise Pascal, is formed by starting with an apex of 1.Every number below in the triangle is the sum of the two numbers diagonally above it to the left and the right, with positions outside the triangle counting as zero.

Now, check out if you know this......

The Fibonacci Series in Pascal's Triangle !!! (look into figure below if you want to know how).

Well, not only that, it has many unusual properties and a variety of uses like:
• Horizontal rows add to powers of 2 (i.e., 1, 2, 4, 8, 16, etc.)
• The horizontal rows represent powers of 11 (1, 11, 121, 1331, etc.)

• Adding any two successive numbers in the diagonal 1-3-6-10-15-21-28...

   results in a perfect square (1, 4, 9, 16, etc.)
• It can be used to find combinations in probability problems (if, for instance, you pick any  

  two of five items,  the number of possible combinations is 10, found by looking in the

  second place of the fifth row. Do not count the 1's.)

• When the first number to the right of the 1 in any row is a prime number, all numbers in

   that row are  divisible by that prime number.

Amazing right!?? That's why I say," MATHEMATICS is the QUEEN OF ALL SCIENCES" !!! :-)