Abukadu said:Homework Statement
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I need to prove that the left part is equal to the right. I'm not sure how to approach the question.
I know that (n over k)=n! : k!(n-k)! but how do I sum all the number from k=0 to k=n and show that that equals to 2^n ?
The Newton Binomial Coefficient is a mathematical concept that represents the number of ways to choose a subset of k elements from a set of n elements, where order does not matter.
The Summation Method is a mathematical approach to solving equations by adding up individual terms and simplifying the resulting expression.
The Equality of Newton Binomial Coefficient can be proven using the Summation Method by expanding both sides of the equation and simplifying the resulting expressions to show that they are equal.
Proving the Equality of Newton Binomial Coefficient is important because it provides a way to verify the accuracy of calculations and to ensure that the concept is properly understood.
Yes, there are other methods for proving the Equality of Newton Binomial Coefficient, such as using Pascal's Triangle or the Binomial Theorem. However, the Summation Method is often used because it is a straightforward and intuitive approach.