The value of { ^50C0/1 + ^50C2/3 + ^50C4/5 + ... + ^50C50/51} is

Question

The value of \(\big( \frac{^ {50}C_0}{1}\) + \(\frac{^ {50}C_2}{3}\)  + \( \frac{^ {50}C_4}{5}\) + ... + \( \frac{^ {50}C_{50}}{51}\big)\)  is

(a) \(\frac{2^{50}}{51}\)

(b) \(\frac{2^{50}-1}{51}\)

(c) \(\frac{2^{51}-1}{50}\)

(d) \(\frac{2^{50}-1}{50}\)

Answer 1

Answer: (a) \(\frac{2^{50}}{51}\)