10
QuizMultiple Choice

Finding Outcomes

Question 10 • CR - Algebra 2 26-27 - S2

Holly chooses seven out of nine plants for the front of her house with the remaining plants to be used on the side of the house.If order does not matter, in how many ways can she choose the plants for the front of the house?

Answer
A
7
B
9
C
21
D
36

Explanation

Since order does not matter, use combinations to choose 7 of the 9 plants: C(9, 7) = 9!/(7!·2!) = (9·8)/2 = 36. So Holly can choose the plants for the front in 36 ways, which is choice D.

AI-written and checked against the verified answer.