sorry 'bout that, guess a few synapses got shorted. That little snippet should have called itself, so that the print_r() function would explode the array so that you could see what was in the variable.
For example, if you had selected sun,tue,thu,sat then the variable would hold
Array (
[0] => sun
[1] => tue
[2] => thu
[3] => sat
)
But select wasn't what you were asking about... but the principle remains the same: make the name of the input to be an array by using the [] at the end.
For checkboxes you could have
name="days[1]"
name="days[2]"
etc.
then when the data is submitted you will have all the data in the array, $days.
from there you can build a string '1,0,0,1' ... etc.
for the mysql side, be sure to look up the 'enum' type, it might be what you're looking for