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31 March, 02:37

In her "Continue Watching" list on Netflix, Madelyn has 7 half-hour shows. In how many ways can she select four different half-hour shows to watch from her list? A. 35 B. 840 C. 980 D. 5040

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  1. 31 March, 02:45
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    Option A) 35 different ways she could select the four different half-hour shows.

    Step-by-step explanation:

    It is given that,

    Madelyn has 7 half-hour shows.

    She wants to select four different half-hour shows to watch from her list.

    So, she selects only 4 shows out of 7 shows.

    When choosing the first show, she has 7 possibilities. When choosing the second show, she has left with 6 possibilities. Similarly, to select the third show, she has 5 possibilities. And finally, to select the fourth show, she has 4 possibilities.

    ⇒ 7*6*5*4

    ⇒ 840.

    Now, there are chances for her to repeat the shows during these four selections of shows.

    The question is asked for four different half-hour shows to watch.

    Thus, you need to divide by 4!

    ⇒ 4! = 4*3*2*1 = 24

    The number of ways she can select four different half-hour shows:

    ⇒ 840 / 24

    ⇒ 35 ways.

    ∴ Option A) 35 different ways she could select the four different half-hour shows.
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