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If you mean giving any amount using the minimum number of coins for that amount then:

1p x 1

2p x 2

5p x 1

10p x 1

20p x 2

50p x 1

£1 x 0

£2 x 0

Other wise you could do it where the minimum for some of the coins would be zero, but the minimum for others would be increased, for example:

As above but no 50p coin (no increase of others needed as 2 x 20p + 1 x 10p = 50p).

1p x 50 and none of the other coins

1p x 1, 2p x 25 and none of the other coins

1p x 1, 2p x 2, 5p x 9 and none of the coins

etc

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Q: What is the minimum number of each coin you need if it is to be possible for you to give any amount of money from 1p to 50p?
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