## Coin sums

### Problem 31

Published on Friday, 22nd November 2002, 06:00 pm; Solved by 35590

In England the currency is made up of pound, £, and pence, p, and there are eight coins in general circulation:

> 1p, 2p, 5p, 10p, 20p, 50p, £1 (100p) and £2 (200p).

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

> 1£1 + 150p + 220p + 15p + 12p + 31p

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