Gajjo and his Best Pair

Gajjo is organizing an event in his school Parbatta Vikas Sansthan (PVS). Gajjo will select any two people from the event at any moment and declare them as "Best Jodi". The "Best Jodi" is going to get a lot of rewards. In order to choose the "Best Jodi". Gajjo has put a condition on it. He will select three integers $L$,$R$ and $T$ randomly.A pair of person $(X, Y)$ will be eligible to become a "