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.

⇒ 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.

the inequality is:

250c+180g≥950

step-by-step explanation:

let c denotes the number of days in a week   miyoko worked as a cryptographer.

and g denotes the number of days in a week she works as a geologist.

now we are given that she earns $250 for every day she works as a cryptographer,and earns $180 for every day she works as a geologist.

now miyoko's goal is to earn more than $950 this week.

hence, the inequality could be represented as:

250c+180g≥950

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step-by-step explanation:

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