Final answer:
The function used to multiplex between many open file descriptors and choose one that is ready to read/write is select().
Step-by-step explanation:
The function used to multiplex between many open file descriptors and choose one that is ready to read/write is select(). This function allows a program to monitor multiple file descriptors and determine which ones are ready for I/O operations. It takes three sets of file descriptors as arguments: the read set, the write set, and the error set. The program can then use these sets to determine which file descriptors are ready for reading or writing.