Question

*PLEASE HELP ASAP FOR A TEST*

Mark is going to buy some flowers for his wife for her birthday. At the store, he has his
choice of 7 different types of flowers. He wants to get 4 different flowers for the flower
arrangement. How many flower arrangements could he make?
A. 70
B. 35
C. 84
D. 140

Answer 1

B. 35

Explanation:

The order in which the flowers are chosen is not important, which means that the combinations formula is used to solve this question.

Combinations formula:

`C_(n,x)` is the number of different combinations of x objects from a set of n elements, given by the following formula.

`C_(n,x) = (n!)/(x!(n-x)!)`

In this question:

4 flowers from a set of 7. So

`C_(n,x) = (7!)/(4!(7-4)!) = 35`

The correct answer is given by option B.