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in Olympiad by (65.8k points)

Determine the number of 8-tuples (ε1 , ε2 , …ε8) such that ε1 , ε2 , … ε8 ε{1, –1} and ε1 + 2ε2 + 3ε3 + … + 8ε8 is a multiple of 3.

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Best answer

Total cases = 2 x 2[(2 x 2) + (3)2 + 2]

= 88

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