Number Game

[Anonymous]

Here's an interesting game:

Can we make all the numbers from 0 to 21 just by using 2, 3 and 5?

It is possible to do.

So for example;

0 = 5 - 3 - 2

10 = 5 + 3 + 2

[Liquid]

Are all solutions possible?

[sheepdog]

I've just to find the solution for 12  but I won't post the rest til tomorrow...

[jonsie]

20 = 3cubed (-5) (-2)

19 = 2squared (*5) (-3)

Does this constitute using the numbers once?

[Anonymous]

I think 12 is a hard one. They are all possible.

Our call centre is doing comic relief just now so I'm stuffing my face with too much pizza to think of the solution aha

[Anonymous]

3 cubed would use 3 and 3 unfortunately.

5!/3! Then divide by 2 is 20

[sheepdog]

2 = 2(3! - 5)

8= (3!/2!) + 5

12= 3! + (5-2)!

15= 5!/(3! * 2!)

18= (5!/3!) -2

19 = 5^2 -3!

Though I had a slight variant on 20 than opium did: (3! - 2) * 5.

#12 was a bit of a puzzler but the found the solution during the half time of Wales v England.