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

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.