• anonymous
mary purchased a package of 9 different plants but she only needed 6 plants for planting. In how many ways can she select the 6 plants from the package to be planted?
  • Stacey Warren - Expert
Hey! We 've verified this expert answer for you, click below to unlock the details :)
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
  • katieb
I got my questions answered at in under 10 minutes. Go to now for free help!
  • anonymous
So, you have nine-element set and its cardinality n is equal to 9. You have to choose 6 elements from it. Because order of choosing doesn't have meaning, we can say that you have to compute how many subsets with cardinality 6 you can distinguish. This can be done with this formula: \[9! \over 6!(9 - 6)!\]. The result is 84

Looking for something else?

Not the answer you are looking for? Search for more explanations.