# Can you solve the maths question?Watch

#1
Hey, my lil 14 year old sister needs help with this puzzling question as part of a mathematics challenge? Can you figure it out?

Uncommon children.

This concerns a group of four children. Any two of whom have something in common: first name, surname, or school year. Can we be sure of finding three children with the same thing in common (aside from the fact that they are all children)?
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12 years ago
#2
No, unless I have misunderstood the question

E.g.

Child 1 - John Smith, Year 1
Child 2 - John Turner, Year 2
Child 3 - Adam Smith, Year 3
CHild 4 - Adam Turner, Year 4
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12 years ago
#3
yes, they could have blue eyes, brown hair or (as in your example) all be male... the question is not specific enough...
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12 years ago
#4
Try to find a counter example, where we have 4 children where we can't find three children with a certain thing in common

Child 1: A Z 1

Child 2 must have at least one of A Z or 1, say A

child 2: A Y 2

Child 3 can not have A and must have Z and 2 and Y or 1, doesn't matter which

child 3: B Z 2

Child 4 can not have A, Z or 2 , so must have B Y and 1

child 4: B Y 1

no element has appeared more than twice, so we are successful in finding a counterexample
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12 years ago
#5
That's exactly the same as what I said.

Esquire - good point. It obviously depends on the paper style.
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12 years ago
#6
handy, child 4 has nothing in common with child 1 in your examples
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12 years ago
#7
(Original post by KAISER_MOLE)
handy, child 4 has nothing in common with child 1 in your examples
Neither did child 2 with child 3.

BGut if you were to chnage 'Year 3' to 'Year 2' and 'Year 4 ' to 'Year 1' then that would work I think.
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12 years ago
#8
(Original post by KAISER_MOLE)
handy, child 4 has nothing in common with child 1 in your examples
Oh I see. I didn't understand the question after all
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