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.