1. The supply department has 8 different motors and 5 different switches. In how many ways can 3 motors and 2 switches be selected?
A sonnet is a 14-line poem in which certain rhyming
patterns are followed. The writer Raymond Queneau
published a book containing just 10 sonnets, each on a
different page. However, these were structured such that
other sonnets could be created as follows: the first line of
2. a sonnet could come from the first line on any of the 10
pages, the second line could come from the second line
on any of the 10 pages, and so on (successive lines were
perforated for this purpose).
a. How many sonnets can be created from the 10 in the
book?
3. A production facility employs 10 workers on the day shift, 8 workers on the swing shift and 6 workers on the graveyard shift. A quality control consultant wants to select 5 of those
workers for in-depth interview.
(a) How many selections result if all 5 come from the day shift?
(b) How many selections result if all 5 come from the same shift?