Coin sums

In the United Kingdom the currency is made up of pound (£) and pence (p). There are eight coins in general circulation:

\[ \begin{align} 1p,\ 2p,\ 5p,\ 10p,\ 20p,\ 50p,\ £1\ (100p),\ and £2\ (200p). \end{align} \]

It is possible to make £\( 2 \) in the following way:

\[ \begin{align} 1×£1 + 1×50p + 2×20p + 1×5p + 1×2p + 3×1p\end{align} \]

How many different ways can £\( 2 \) be made using any number of coins?