High School What Does the Sum of Coefficients in the Binomial Theorem Expansion Represent?

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The sum of the coefficients in the binomial theorem expansion of (1+x)^n is obtained by substituting x with 1. This results in the expression simplifying to 2^n, indicating that the sum of the coefficients equals 2 raised to the power of n. This reflects the total number of subsets of a set with n elements. Understanding this concept is crucial for grasping the implications of the binomial theorem. The discussion highlights the importance of this substitution in revealing the significance of the coefficients.
Sreekar adithya
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Stuck at understanding binomial thorem.
In the general expansion of (1+x)^n what does the sum of the coefficients mean?
 
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Sreekar adithya said:
Summary:: Stuck at understanding binomial thorem.

In the general expansion of (1+x)^n what does the sum of the coefficients mean?

The sum of the coefficients can be found by setting ##x = 1##.
 
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