C 1 C 0 -2 C 2 C 1 -3 C 3 C 2 -15 C 15 C 14 is equal to

The correct option is B 120 [ C_ 1 / C_ 0 + 2 C_ 2 / C_ 1 + B C_ 3 / C_ 2 ........15 C_ 13 / C_ 14 ...

215

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nCr Definitions and Properties

C 1 C 0 +2 C ...

Question

$\frac{C_{1}}{C_{0}} + 2 \frac{C_{2}}{C_{1}} + 3 \frac{C_{3}}{C_{2}} + . . . . + 15 \frac{C_{15}}{C_{14}}$ is equal to

100

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120

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- 120

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Similar questions

C_{0}, C_{1}, C_{2}, . . . . . . C_{15}

(1 + x)^{15}

\frac{C_{1}}{C_{0}} + 2 \frac{C_{2}}{C_{1}} + 3 \frac{C_{3}}{C_{2}} + . . . . . . . . . . . + 15 \frac{C_{15}}{C_{14}} = 120

C_{0}, C_{1}, C_{2}, \dots, C_{15}

{(1 + x)}^{15}

\frac{C_{1}}{C_{0}} + 2 \frac{C_{2}}{C_{1}} + 3 \frac{C_{3}}{C_{2}} + \dots + 15 \frac{C_{15}}{C_{14}}

c_{0}, c_{1}, c_{2}, \dots c_{15}

(1 + x)^{15}

\frac{c_{1}}{c_{0}} + 2 \frac{c_{2}}{c_{1}} + 3 \frac{c_{3}}{c_{2}} + \dots + 15 \frac{c_{15}}{c_{14}}

\frac{C_{1}}{C_{0}} + 2 \frac{C_{2}}{C_{1}} + \dots + 15 \frac{C_{15}}{C_{14}} =

\frac{C_{1}}{C_{0}} + \frac{2 C_{2}}{C_{1}} + \frac{3 C_{3}}{C_{2}} + . . . . + \frac{n C_{n}}{C_{n - 1}} =

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