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eight points lie on the circumference of a circle. one of them is labelled P. chords join some or all of the pairs of these points so that the seven points other than P lie on different numbers of chords. what is the minimum number of chords on which P lies?

If chords join "some or all" of the pairs of points, then I don't see how you can say how many chords connect to P. In principle, each point can be one end of a chord connecting to any of the seven other points.

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    in this case the other chords should have 7 to 1 chords.so atleast 3 chord should have P

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