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Question
Show That C1 + C2 + C3 + .... C7 = 127
Solution
We know that,
C0 + C1 + C2 + ... + Cn = 2n
Put n = 7, we get,
C0 + C1 + C2 + ... + C7 = 27 = 128
∴ 1 + C1 + C2 + ... + C7 = 128 ...[∵ nC0 = 1]
∴ C1 + C2 + C3 + ... + C7 = 127.
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