In the original series, how many shuttlecraft made up the normal complement aboard the U.S.S. Enterprise NCC-1701? The numbering convention I found on Memory Alpha goes up to NCC-1701/12, listing both active and destroyed, with the Galileo accounting for 3 of the 10 shown. How many were supposed to be onboard?
As referenced on the Memory Alpha Wiki, the standard complement on the original Enterprise (and likely ships of her size and class) was four Class-F shuttlecraft.
In the TOS episode "Omega Glory", it is stated the Exeter starship (like the E) has four shuttlecrafts aboard. I would presume the E 1701 would also carry four.
except during "The Enemy Within" when nobody mentions using shuttlecraft to erscue Sulu's group from the planet without using the dangerous transporter. Thus everyone must have known that, for various reasons, there were no shuttles available. In that episode the Enterprise was carrying a lot fewer shuttles than normally.