\sum_{ j = 1 }^{ 6-1 } \left( { \left( { C }_{ n } \right) }^{ j } \right)
Evaluate
C_{n}\left(C_{n}^{4}+C_{n}^{3}+C_{n}^{2}+C_{n}+1\right)
Differentiate w.r.t. C_n
5C_{n}^{4}+4C_{n}^{3}+3C_{n}^{2}+2C_{n}+1
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\sum_{ j = 1 }^{ 6-1 } \left( { \left( { C }_{ n } \right) }^{ j } \right)
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