Can all the multiplexers work for any number of variables given?

[Salman Ali]

Can all the multiplexers work for any number of variables given? For example can I make a 16:1 multiplexer for 2 variables inputs, A and B?

 

[Baluncore]

Any number of inputs are possible. Usually the limit is the number of terminals on the chip.

Multiplexers are usually available as a 1 bit slice, but 2, 3 and 4 bit wide slices are also available. There is not much saving gained by putting wider slices in a single chip since only the address decode logic is saved.

Tri-state, open collector, or open-drain outputs (called wired-OR) are preferred to implement wider parallel bus multiplexers.
https://en.wikipedia.org/wiki/Three-state_logic
https://en.wikipedia.org/wiki/Open_collector#Applications_of_open-collector_devices