The Great Score Of 100

This is just the starting ... India will also emerge as the World Cup T20 Champions 2k16....

Anyways here's a solution... Let the no. Of $4's$ and $6's$ hit by Adarsh be $x$ and $y$ respectively. Then:- $4x+6y=100\\ \implies 2x+3y=50 \\ \implies x=25-\dfrac{3y}{2}$ From here we can see that since x is a positive integer y must be a even integer such that $y\in [0,16]$ i.e $\boxed 9$ values. Correspondingly we'll get $\boxed 9$ values of $x$ too i.e $\boxed 9$ values.

In my view the case of zero 6's should be excluded, as then only 4's and not 4's and 6's as per the problem statement.

I came up with 525456 as an answer. The suggested solutions so far are assuming that there is only one way to get 22 4's and 2 6's. If you consider the number of unique arrangements of 22 4's and 2 6's, there are actually 276 ways to get 22 4's and 2 6's to sum to 100. I feel that my solution is correct because scoring 4 the first 22 times at bat then scoring 6 the remaining two times at bat would be recorded differently (chronologically) in a score book than would scoring 6 the first two at bats and scoring 4 for the remaining 22 at bats.

Total: 525456