greengangoffical6
Answered

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*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

Sagot :

Answer:

B. 35

Step-by-step 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:

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

In this question:

4 flowers from a set of 7. So

[tex]C_{n,x} = \frac{7!}{4!(7-4)!} = 35[/tex]

The correct answer is given by option B.

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