Use the Binomial Theorem to Prove the Following

question 144

Short Answer

Use the binomial theorem to prove the following: $\left( \begin{array} { l } 6 \\0\end{array} \right) + \left( \begin{array} { l } 6 \\1\end{array} \right) + \cdots + \left( \begin{array} { l } 6 \\6\end{array} \right) = 2 ^ { 6 } .$

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Definitions:

Interest Rate

The percentage charged on a loan or paid on deposits over a specific period of time, reflecting the cost of borrowing or the return on savings.

Consumes

The act of using up a resource or goods in the process of satisfying human needs or wants.

Utility Function

A utility function is a mathematical representation that assigns a level of utility or satisfaction to combinations of goods and services consumed.

Income

Refers to the income earned, either periodically or consistently, from employment or investment ventures.