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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?

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

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

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

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

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