## BINOMIAL THEOREM

At the end of this section, students should be able to:

1. explain the meaning and use simple properties of $$n!$$ and $${n\choose r}$$, that is,$$^nC_r$$ where $$n, r\in\mathbb{Z}$$
2. recognise that $$^nC_r$$ that is, $${n\choose r}$$, is the number of ways in which $$r$$ objects may be chosen from $$n$$ distinct objects;
3. expand $$(a+b)^n$$ for $$n\in\mathbb{Q}$$;
4. apply the Binomial Theorem to real – world problems, for example, in mathematics of finance, science.