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9 ........................ .
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Have we chatted before ? sorry can't remember....that's why not good of counting.... I tried once more time, yes missing out few.... how about 12 ? .
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oh 15.... .
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labelling the vertices ABCDE as follows: A | \ D---E | / \ B -----C We focus on triangles by Apex: ADE, ABE, ABC, DBE, EBC the others are already used. With A as apex, there are 6 each for ADE, ABE, ABC = 3*6 = 18. DBE has 3, 3+18 = 21 EBC with 3, total 24
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well done kayra and Oldghost  .
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 Yes it took a while. Need to practise more to avoid Dementia.  Hope it's NotTooLate to stimulate brain cells.  .
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