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 + 1×50p + 2×20p + 1×5p + 1×2p + 3×1p
How many different ways can £2 be made using any number of coins?
In [1]:
count = [1] + [0]*200
coins = [1, 2, 5, 10, 20, 50, 100, 200]
for c in coins:
for n in range(c, 201):
count[n] += count[n-c]
print(count[200])
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