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India
Class XI

Binomial Expansions and Coefficients

Interactive practice questions

Evaluate $\binom{6}{5}$(65).

Easy
1min

Evaluate $\binom{14}{1}$(141).

Easy
1min

How many terms does the expansion of $\left(9x+6y\right)^8$(9x+6y)8 have?

Easy
< 1min

The $3$3rd row of Pascal’s triangle contains the elements $1$1, $3$3, $3$3, $1$1. Each of these can be rewritten in $\nCr{n}{r}$nCr form: $\nCr{3}{0}$3C0, $\nCr{3}{1}$3C1, $\nCr{3}{2}$3C2, $\nCr{3}{3}$3C3.

Rewrite each element of the $5$5th row of Pascal’s triangle as an $\nCr{n}{r}$nCr coefficient.

Easy
2min
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Outcomes

11.A.BT.1

Statement and proof of the binomial theorem for positive integral indices. Pascal’s triangle, general and middle term in binomial expansion, simple applications.

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