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An ?-pyramid is created with ? blocks at the base, ? − 1 blocks on the...

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Advance Math

An ?-pyramid is created with ? blocks at the base, ? − 1 blockson the next level, until the peak which has 1 block.

Pyramids are colored according to the following rules: (1) Eachblock can be red, gold, or black, and (2) All 3-block unitscomposed of one block on top of two others must either all be thesame color or all be different colors. Answer the following:

a) How many ways are there to color a 7-pyramid?

b) What is the maximum number of black blocks in a 25-pyramidthat has at least one red block and at least one gold block?

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