Permutations and Combinations

Evaluate Factorial Expressions

Introduction to Permutations

Continued Permutations

Introduction to Combinations

Continued Combinations

Pascal's triangle

Binomial Expansions and Coefficients

Further Binomial Expansions

Class XI

Further Binomial Expansions

Interactive practice questions

True or False:

The Binomial Theorem can be written in condensed form as:

$\left(a+b\right)^n=\sum_{r=0}^n\binom{n}{r}a^{n-r}b^r$(a+b)n=n∑r=0(nr)an−rbr

True

A

False

B

Easy

< 1min

Consider the binomial expansion of $\left(x+\frac{1}{x}\right)^n$(x+1x)n.

Easy

4min

Outcomes

11.A.PC.1

Fundamental principle of counting. Factorial n. Permutations and combinations, derivation of formulae and their connections, simple applications.

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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