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Question
Show That C1 + C2 + C3 + .... C6 = 63
Solution
Since C0 + C1 + C2 + C3 + …… + Cn = 2n
Puting n = 6, we get
C0 + C1 + C2 + …… + C6 = 26
∴ C0 + C1 + C2 + …… + C6 = 64
But, C0 = 1
∴ 1 + C1 + C2 + …… + C6 = 64
∴ C1 + C2 + …… + C6 = 64 – 1 = 63
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