Binomial Theorem

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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