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Pascal Theorem

mustish1
mustish1 asked
on
Hi guys: Can any one please help me in that question. I try to solve the last row in the rectangle hope i did right. The numbers in the last row is:5  10  10  5

Thanks.

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Commented:
Yes that's correct. You just add the two numbers above. So when you start a new line you are adding the 1 to a 0 on the new end of the line.
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Commented:
Do you recognise the numbers in each row as being the numbers from multiplying out binomials?

(a+b)^2 = 1*a^2 + 2*ab + 1*b^2 ->1.2.1

(a+b)^3 = 1*a^3 + 3a^2b + 3ab^2 + 1*b^3 -> 1.3.3.1

etc.
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Commented:
>> is : 5  10  10  5

correct.
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Commented:
A nice description of how it relates to combinations in here:
http://www.mathsisfun.com/pascals-triangle.html

Look about half way down for 'Heads and Tails'

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Commented:
I knew I should have Refreshed first.

Author

Commented:
yes i understand that
its
(a+b)
(a+b)^2
(a+b)^3
(a+b)^4

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