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Binomial Theorem

If a coin comes up heads you win $10, but if it comes up tails you win $0. How likely are you to win exactly $30 in five flips?

Definition of Binomial Coefficient

         

Evaluate \(\binom{8}{3}\).

Evaluate \[{44 \choose 42}.\]

What is the value of \(n\) if \[{n \choose 3}=35?\]

What value of \(n\) satisfies \[{n \choose 2}=528?\]

5 people became friends at a Summer Camp. On the last day, they shook each other's hands to say farewell. How many handshakes were there?

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