$^{15} C_{3} +^{15} C_{5} + . . . . . . . +^{15} C_{15}$

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Solution

$\begin{matrix} A c c o r d i n g t o q u e s t i o n,^{15} C_{3} +^{15} C_{5} + . . . . . . . +^{15} C_{15} w e k n o w t h a t :^{15} C_{1} +^{15} C_{3} +^{15} C_{5} + . . . . . . . +^{15} C_{15} = 2^{15 - 1} = 2^{14} s o, t h a t \Rightarrow^{15} C_{3} +^{15} C_{5} + . . . . . . . +^{15} C_{15} = 2^{14} - 15 i s A n s w e r . \end{matrix}$

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Similar questions

{^{15} C}_{3} + {^{15} C}_{5} + . . . . + {^{15} C}_{15}

^{15} C_{2} + {2.}^{15} C_{3} + {3.}^{15} C_{4} + \dots . . + {14.}^{15} C_{15} =

^{47} C_{4} + \sum_{j = 1}^{5}^{52 - j} C_{3} =

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(1 + z^{2} + z^{4})^{8} = C_{0} + C_{1} z^{2} + C_{2} z^{4} + . . . + C_{16} z^{32}

40 V

A

B

C_{1} = 5 μ F, C_{2} = 2.5 μ F, C_{3} = 6 μ F, C_{4} = 2 μ F

C_{5} = 15 μ F

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