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11. Determine the number of paths that spell EUCLID by moving only down/diagonally from the top. L E UU C C C L L

11. Determine the number of paths that spell EUCLID by moving only down/diagonally from the top. L E UU C C C L L I I I I D D D 31 32 63 64 D L I D D 12. Use the Binomial Theorem to expand and simplify: (2a+b)3 a4 + 4ab + 6ab + 4ab + b4 a33a2b+3ab + b 8a3 +12a2b+ 6ab + b 16a4 + 24ab + 12ab + 2ab + b4

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