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mac07
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mac07
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?


what are the choices ?
Sorry could'nt find any choices.

Can you help with this problem?

I'm not aware of any shortcut, but regular algebraic equation form would be a good start
a be number of 1 pence
b be number of 2 pence
c be number of 5 pence
d be number of 10 pence
e be number of 20 pence
f be number of 50 pence
g be number of 100 pence
h be number of 200 pence

and equation will be like \(a +2b +5c +10d + 20e + 50f + 100g + 200h =200\)
and apply boundary conditions, like a<= 200 , b <= 100 and so on .

Sure this is a GMAT question ?



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