Could you help with this question as it has me stumped! Solve for "N" 12nC2=N! Thanks Tutor |
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Hi, Like a number of 'puzzlers' this is designed so you do NOT just use some standard algorithm. It is about patterns - ways of 'seeing' the pieces. Let me try to show you what I 'see':
Now, I know, from experience, that I should try to make the pieces look as much alike as possible, so I can focus on the differences:
I can make things look even more alike:
[That is based on recognizing that 6 is a factorial - something that also comes from experience and playing around.] I imagine you can see one answer already. The only other question would be - is it the only answer? I think if you play around with the shapes, say looking at the curves for the two functions on the two sides, you will see that they only cross 1 time - so you cannot be missing a second (positive) solution. Walter |
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