# Brad goes to a shop that sells five flavours of ice-cream. Each flavour comes in a separate tub. He decides to buy two tubs, each on containing a different flavour. How many choices are possible?

Question asked by: hollya

Asked on: 05 Nov 2008

Brad goes to a shop that sells five flavours of ice-cream. Each flavour comes in a separate tub. He decides to buy two tubs, each on containing a different flavour. How many choices are possible?

A little bit of maths is required here, and that's always scary!

There are 5 flavours, and we need to know how many combinations there are of a sub-set of 2 of them. Well, you can have tub 1 with tub 2, tub 3, tub 4 then tub 5, tub 2 with 1, 3, 4 , 5 tub 3 with 1, 2, 4, 5 tub 4 with 1,2,3,5 and tub 5 with 1,2,3,4.

This gives a total of 20 combinations. If you want unique combinations, there are 10.

By: knowitall

Replied at: 12 Nov 2008

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### Comments and other answers:

I disagree.
a combination of tub 1 and tub 2 is the same as tub 2 and tub 1.
therefore, the answer to this question should be 5+4+3+2+1=10,
not 20.

By: qw3rtyph

By: qw3rtyph

*Date of comment: Mon, Nov 17th 2008***Ask a New Question**

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