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Problem 31


Problem 31


Coin sums

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), £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?


硬币求和

英国的货币单位包括英镑£和便士p,在流通中的硬币一共有八种:

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

以下是组成£2的其中一种可行方式:

1×£1 + 1×50p + 2×20p + 1×5p + 1×2p + 3×1p

不限定使用的硬币数目,组成£2有多少种不同的方式?