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 = 213 – 13C0 – 13C1