Few problems...

1)Find the value of \fn_jvn \frac{\sum_{r=0}^{24}\binom{100}{r}\binom{100}{4r+2}}{\sum_{r=1}^{25}\binom{200}{8r-6}}

2)The largest term of the sequence 1503,4524,9581,16692... is 491529pFind p?

3)No of solutions of the equation
\fn_jvn \left | \sin \frac{\pi }{2}x+\cos \frac{\pi }{2}x \right |=\sqrt{\left | (ln\left | x \right |)^{3}\right |+1}