when two customers are communicating, using the services of same network(airtel customer to airtel customer) then how many channel are used? and if aitel to anyother then what?
The cellular telephony has evolved through improving the efficiency of spectrum use. The current access techniques allow the use of a same channel by multiple users. For example, the technique CDMA
In cellular, each cell phone communicates with its base station. Usually, this is done over two channels, one downstream and one upstream. Or sometimes the system uses "time division duplexing" (TDD), which shares one channel for up and down. And, as Santiago said previously, multiple users in each cell can share the down and up links, with digital protocols such as TDMA (time division), CDMA (code division), or OFDMA and soon FBMC (subcarrier division, I suppose you can call it).
If the two users are on the same cell system, they usually will not be in the same cell. Cells are small. Say, something like 1 or 2 km square, depending. Some can be a lot smaller, especially as we go to 4G and then 5G. Whatever the case may be, cell phones communicate only to base stations, in the normal case.
So, whether cell system users are in the same cellular network or not, most of the time a so-called "backhaul network" becomes involved. The fixed, cabled or wireless network, which ties together the cells and ties the cellular system to the telephone system.