Solveeit Logo

Question

Question: The value of \(13C_{2} +^{13}C_{3} +^{13}C_{4} + .... +^{13}C_{13}\) is...

The value of 13C2+13C3+13C4+....+13C1313C_{2} +^{13}C_{3} +^{13}C_{4} + .... +^{13}C_{13} is

A

213 – 13

B

213 – 14

C

213 + 13

D

213 + 14

Answer

213 – 14

Explanation

Solution

nC0+nC1+nC2+......+nCn=2nnC_{0} +^{n}C_{1} +^{n}C_{2} + ...... +^{n}C_{n} = 2^{n}