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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?

Binomial Theorem - N Choose K

Evaluate ${42 \choose 40}.$

What value of $$n$$ satisfies ${n \choose 2}=465?$

What is the coefficient of $$x^ 5$$ in the expansion of $$(x+1)^ {8}$$?

What is the value of positive integer $$n$$ satisfying ${22 \choose n}={22 \choose {n-10}}?$

What is the coefficient of the $$x^ 4 y^ 4$$ term in the expansion of $$(x+y)^{8}$$?

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