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Use the Binomial Theorem to Prove the Following

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 }


Definitions:

Mood Disorder

A category of mental health disorders characterized by a disturbance in a person’s mood, leading to periods of depression or exaggerated happiness.

Bipolar Disorder

A mental health condition that causes extreme mood swings that include emotional highs (mania or hypomania) and lows (depression).

Attention Deficit Hyperactivity Disorder

Attention Deficit Hyperactivity Disorder, or ADHD, is a neurodevelopmental disorder characterized by persistent issues with attention, impulsiveness, and, in some cases, hyperactivity.

Symptoms

Observable signs or indicators that something may be wrong with the body or mind, often signaling presence of a disease or disorder.

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