P5 (10 points): A 6-bit 2-1 MUX has a 1-bit select input S, one 6-bit data input A, one 6-bit data input B, and one 6-bit data output F. Otherwise, it functions like a regular 1-bit 2-1 MUX except that the data lines are 6- bits wide:

A: What is the fewest number of 1-bit 2-1 MUXes that one can use to produce a 6-bit 2-1 MUX?

B: What is the fewest number of 1-bit 2-1 MUXes that one can use to produce a 1-bit 8-1 MUX?

C: What is the fewest number of 1-bit 2-1 MUXes that one can use to produce a 6-bit 8-1 MUX?

D: What is the fewest number of 1-bit 2-1 MUXes that one can use to produce an n-bit m-1 MUX?