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Re: Arrangement of circles question.

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ankurgupta03 wrote:
You are given an unlimited number of circles each of which is identical to one of the two circles shown above. The radii of the larger circles are 4 and the radii of the smaller circles are 2. You must place the circles side-by-side so that they only touch at one point. If exactly two of the smaller circles are used, in how many different ways may the circles be placed next to one another so that the centers of the circles are all on the same straight line and so that the sum of the lengths of the diameters of the circles is 32?

A. four
B. six
C. eight
D. ten
E. Twelve

I just don't get it, can some one please help. I cannot see any one of the given options to be correct.
Will post my reasoning once i receive a method to derive the answer


Please refer to the solutions above.

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