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    Mathematics
  3. Study Set
    Discrete Mathematics and Its Applications
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    Exam 6: Counting
  5. Question
    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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Use the Binomial Theorem to Prove the Following

Question 147

Question 147

Short Answer

Use the binomial theorem to prove the following: (60)+(61)+⋯+(66)=26\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 }(60​)+(61​)+⋯+(66​)=26

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