Use the Binomial Theorem to Prove the Following

question 41

Short Answer

Use the binomial theorem to prove the following: $$\left( \begin{array} { c } 100 \\0\end{array} \right) + \left( \begin{array} { c } 100 \\2\end{array} \right) + \left( \begin{array} { c } 100 \\4\end{array} \right) + \left( \begin{array} { c } 100 \\6\end{array} \right) + \cdots + \left( \begin{array} { c } 100 \\98\end{array} \right) + \left( \begin{array} { c } 100 \\100\end{array} \right) = \left( \begin{array} { c } 100 \\1\end{array} \right) + \left( \begin{array} { c } 100 \\3\end{array} \right) + \left( \begin{array} { c } 100 \\5\end{array} \right) + \cdots + \left( \begin{array} { c } 100 \\97\end{array} \right) + \left( \begin{array} { c } 100 \\99\end{array} \right) \text {. }$$

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Definitions:

Variable Costing

A method of costing that includes only variable production costs — costs that change with the level of output — in the calculation of unit costs.

Production Planning

The process of forecasting, planning, and controlling the quantity, timing, and quality of production activities.

Absorption Costing

A method of accounting that incorporates all costs associated with manufacturing (such as direct materials, direct labor, and all overhead expenses, whether fixed or variable) into the product's cost.

EBITDA

Earnings Before Interest, Taxes, Depreciation, and Amortization, a measure used to evaluate a company's profitability without the effects of financing and accounting decisions.