*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 c

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

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Tài Đức 6 months 2021-08-18T07:50:37+00:00 1 Answers 0 views 0

Answers ( )

    0
    2021-08-18T07:52:33+00:00

    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:

    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} = \frac{n!}{x!(n-x)!}

    In this question:

    4 flowers from a set of 7. So

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

    The correct answer is given by option B.

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