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How to get 11(power 5) from Pascal Triangle.

it is new to the mathematics world and discovered by "Piyush Goel" Value of 11(power 5) from Pascal Triangle

Blaise Pascal was a French mathematician,physicist,inventor,writer and philosopher. Pascal Triangle is really a great work by Pascal and open many options for scholars in mathematics.Pascal Triangle is a triangular array of binomial coefficients. It is based on x,(a+x),(a+x)(square) and (a+x)(cube) and so on............ Put coefficient of x,(a+x),( a2 +2ax +x2) and (a3 +3a2x +3ax2 +x3) as (1).(1 1)(1 2 1) and ( 1 3 3 1) and so on and we get a unique triangle which is shown below ,here is one of my work how to get value of 11(power 5) from Pascal Triangle.

As per Pascal Triangle up to 11(power 4),that is 14641(same as shown in Pascal Triangle),but after 11(power 4) we have to write numbers as shown below ,and get the right answer.

Note by Gopalgoel Goel
3 years, 10 months ago

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Wait you know that this has been known for a long time... you mentioned that it was discovered by "Piyush Goel" who coincidentally has your last name.

- 3 years, 7 months ago