The value of 50 0 2 - 50 1 2 - 50 2 2 - 50 49 2 - 50 50 2 is

^nC_0^2+^nC_1^2+^nC_2^2+.............+^nC_n^2=2n!(n!)^2 ⇒ (500)^2+(501)^2+..............+(5050)^2=100!50!50! ...

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Composite Function

The value of ...

Question

The value of ${(\frac{50}{0})}^{2} + {(\frac{50}{1})}^{2} + {(\frac{50}{2})}^{2} + . . . + {(\frac{50}{49})}^{2} + {(\frac{50}{50})}^{2}$ is

Open in App

Solution

Suggest Corrections

Similar questions

50

1 + 2 (\frac{11}{50}) + 3 {(\frac{11}{50})}^{2} + \dots

50

1 + 2 (1 + \frac{1}{50}) + 3 {(1 + \frac{1}{50})}^{2} + \dots

50

1 + 2 (1 + \frac{1}{50}) + 3 {(1 + \frac{1}{50})}^{2} + \dots

^{50} C_{0},^{50} C_{2},^{50} C_{4}, \dots^{50} C_{50}

\frac{50}{72} + \frac{50}{90} + \frac{50}{110} + \frac{50}{132} + . . . + \frac{50}{9900}

Join BYJU'S Learning Program