Algebra

Binomial Theorem

Binomial Theorem - N Choose K

         

Evaluate (4240).{42 \choose 40}.

What value of nn satisfies (n2)=465?{n \choose 2}=465?

What is the coefficient of x5 x^ 5 in the expansion of (x+1)8 (x+1)^ {8} ?

What is the value of positive integer nn satisfying (22n)=(22n10)?{22 \choose n}={22 \choose {n-10}}?

What is the coefficient of the x4y4x^ 4 y^ 4 term in the expansion of (x+y)8(x+y)^{8}?

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