Full of \(\binom{\text{summations}}{\text{combinations}}\)

The sum \[\binom{2014}{1565}+\sum_{k=1}^{333} \binom{k+2013}{k+1565}+\sum_{k=1}^{48} \binom{k+2346}{1897}\]can be expressed in the form \(\binom{x}{y}\), where \(x\) and \(y\) are four-digit integers. Find the value of \(x-y.\)

×

Problem Loading...

Note Loading...

Set Loading...