"In how many ways can the selection be made if no more than one ball point pen is selected?"
your question is not clear.
Are the pencils all the same ? etc
Is one ball-point, 6 pencils and 2 felt-tips a "selection" ?
Is just one pencil a "selection" ?
You have to define what you mean by a selection.
Assume that the student
has a cup with 15 writing implements: 8 pencils, 5 ball
point pens, and 2 felt-tip pens.In how many ways can the selection be made if no more than one ball
point pen is selected?
3 answers
I thought it over and I would do it this way:
the pencils can be taken in 9 ways, that is,
take none, 1,2,3,.. or 8 of them
the ball-point pens can be taken in 2 ways, none or 1
the felt-tips in 3 ways, none, one or both.
number of selections = 9(2)(3) or 54
But that would include the case of taking none at all, which would not be a selection,
so number of selections is 54-1 or
53 ways.
the pencils can be taken in 9 ways, that is,
take none, 1,2,3,.. or 8 of them
the ball-point pens can be taken in 2 ways, none or 1
the felt-tips in 3 ways, none, one or both.
number of selections = 9(2)(3) or 54
But that would include the case of taking none at all, which would not be a selection,
so number of selections is 54-1 or
53 ways.
I don't know the answer but i know the answer is not 53. Not all info was givin to complete the problem. It should have read that they student will select 5 writing implements. How many ways if only one ball poin at selected.