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Question

Question: The value of <sup>13</sup>C<sub>2</sub> + <sup>13</sup>C<sub>3</sub> + <sup>13</sup>C<sub>4</sub>+…+...

The value of 13C2 + 13C3 + 13C4+…+ 13C13 is –

A

213 – 13

B

213 – 14

C

213 + 13

D

213 + 14

Answer

213 – 14

Explanation

Solution

13C0 + 13C1 + 13C2 + 13C3 +……+ 13C13 = 213

13C2 + 13C3 + 13C4 + …….+ 13C13 = 21313C013C1