# Probability problem

leright
Any help would be appreciated. I just want a push in the right direction...I am kinda struggling with these problems.

A shipment of 12 TVs contains 3 defective sets. In how many ways can a hotel purchase 5 of these sets and receive at least 2 of the defective sets?

Thanks.

## Answers and Replies

Muzza
Count the number of sets which can be written like so:

{all three defective TVs} $$\cup$$ {a set containing precisely two working TVs}, or

{a set containing precisely two defective TVs} $$\cup$$ {a set containing precisely three working TVs}.