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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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