Question

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

Answer 1

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

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.