In a Higher Secondary School, the following types of groups are available in $\mathrm{XI}$ standard

$\mathrm{I}.$ Science Group:

$\left(\mathrm{i}\right)$ Physics, Chemistry, Biology and Mathematics

$\left(\mathrm{ii}\right)$ Physics, Chemistry, Mathematics and Computer Science

$\left(\mathrm{iii}\right)$ Physics, Chemistry, Biology and Home Science

$\mathrm{II}.$ Arts Group:

$\left(\mathrm{i}\right)$ Accountancy, Commerce, Economics and Business Maths

$\left(\mathrm{ii}\right)$ Accountancy, Commerce, Economics and Computer Science

$\left(\mathrm{iii}\right)$ History, Geography, Economics and Commerce

$\mathrm{III}.$ Vocational Group:

$\left(\mathrm{i}\right)$ Nursing - Biology, Theory, Practical I and Practical $\mathrm{II}$

$\left(\mathrm{ii}\right)$ Textiles and Dress Designing - Home Science, Theory, Practical $\mathrm{I}$ and Practical $\mathrm{II}$.

In how many possible ways, can a student choose the group?