Algebra

Binomial Theorem

Definition of Binomial Coefficient

         

Evaluate (83)\binom{8}{3}.

Evaluate (4442).{44 \choose 42}.

What is the value of nn if (n3)=35?{n \choose 3}=35?

What value of nn satisfies (n2)=528?{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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