Question

Show all work. Mary purchased a package of 18 different plants, but she only needed 12 plants for planting. In how many ways can she select the 12 plants from the package to be planted?

Answer 1

so, the question is, how many different ways can we select 12 plants out of a total of 18 plants. Correct?

Answer 2

That means, how many different combinations are there to select 12 plants out of 18 plants.
The answer is there are 18 C 12 ways in which you can select 12 plants out of 18 plants.

Answer 3

not 12!

Answer 4

\[\dbinom{18}{12}\]

Answer 5

3C2 ways, which is essentially 3 ways.
you can select plant 1 and plant 2
you can select plant 1 and plant 3
you can select plant 2 and plant 3

Answer 6

if the above statement is there would be 3 possible orders from choosing 2 from a total of 3 plants

Answer 7

is true* (typo)

Answer 8

@ rubin, that is correct.

Answer 9

\[=\dbinom{18}{6}=\frac{18\times 17\times 16\times 15 \times 14 \times 13}{6\times 5\times 4\times 3\times 2}\]

Answer 10

\[=17\times 2\times 3\times 14\times 13=7514\]

Answer 11

the answer is certainly not 18

Answer 12

you have 18 plant out of which you are choosing 12. this is 18 choose 12 written in math as \[\dbinom{18}{12}\]

Answer 13

yeah. my bad :(

Answer 14

the number of ways you can choose 12 things from a set of 18
the formula is
\[\dbinom{18}{12}=\frac{18!}{12!(18-12)!}\]

Answer 15

this is
\[\frac{18!}{12!6!}\]

Answer 16

which = 18564

Answer 17

so the equation to find this is:
(total amount to chose from)/((difference between the two numbers)! x (amount chosen)!
?

Answer 18

yes you are right it is 18564