A production facility employs 20 workers on the day shift, 15
workers on the swing shift, and 10 workers on the graveyard shift.
A quality control consultant is to select 5 of these workers for
in-depth interviews. Suppose the selection is made in such a way
that any particular group of 5 workers has the same chance of being
selected as does any other group (drawing 5 slips without
replacement from among 45).
How many selections result in all 5...