Show all work. 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?

Question

Show all work. 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?

kropot72 · Answer

The number of ways of selecting r objects from a total of n, all different, is given by
$$\frac{n!}{r!(n-r)!}$$
The answer is found from the following:
$$9C6=\frac{9!}{6!(9-6)!}=\frac{9\times 8\times 7}{3\times 2}=?$$

kropot72 · Answer

@stef15 Do you understand?

anonymous · Answer

do i just times the top and the botom and then reduce and that wll be the answer

anonymous · Answer

504/6=84 is thi right

kropot72 · Answer

Yes! The correct answer is that the 6 plants can be selected in 84 ways.