Posted by Devin on Thursday, September 6, 2012 at 5:43pm.
Assume that the student
has a cup with 13 writing implements: 7 pencils, 4 ball
point pens, and 2 felttip pens.
In how many ways can the selection be made if no more than one ball
point pen is selected?

College Finite  Reiny, Thursday, September 6, 2012 at 6:10pm
The question is not clear.
Must he choose one of each?
Could he just take 1 pencil?
I will assume anything goes, except must be 0 ballpoint or 1 ball point
two ways to pick the ball points, either pick none or one
8 ways to pick the pencil, either pick none, or pick one, or pick 2 .... or pick 7
3 ways to pick the felttips, either pick one, or pick one , or pick 2
number of possible selections = 2x8x5 = 80
but that would include the 1 case of picking no pencil, picking no ballpoint and picking no felttip
so final number of ways = 801 = 79