The value of 1/1!50! + 1/3!48! + 1/5!46! + .... + 1/49!2! + 1/51!1! is

Question

The value of

\(\frac 1{1!50!} + \frac 1{3!48!} + \frac 1{5!46!} + .....+ \frac1{49!2!} + \frac 1{51!1!}\) is 

(1) \(\frac{2^{50}}{50!}\)

(2) \(\frac{2^{50}}{51!}\)

(3) \(\frac{2^{51}}{51!}\)

(4) \(\frac{2^{51}}{50!}\)

Answer 1

Correct option is (2) \(\frac{2^{50}}{51!}\)