In mathematica..
http://reference.wolfram.com/mathematica/ref/FrobeniusSolve.html

one can solve in mathematical easily for questions like this:

---
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?
---

How can I solve this question using Sage... Thanks for your
assistance..

It is something to do with Integer Partitions or Frobenius Solve.

Please help

thanks.

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