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in Binomial theorem by (46.7k points)

Evaluate the sum:  8C1 + 8C3 + 8C5 + 8C7.

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Since, 8C1 + 8C3 + 8C5 + 8C7  = sum of even term coefficients in the expansion of (1 + x)8 = 28 - 1 = 27 = 128.

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