Shaun is picking out some movies to rent, and he is primarily interested in documentaries and mysteries. He has narrowed down his selections to 12 documentaries and 19 mysteries. Step 2 of 2 : How many different combinations of 4 movies can he rent if he wants at least one documentary?

Respuesta :

Answer:

The total number of combinations in which the movies can be rented such that there is at least one documentary is 27589.

Step-by-step explanation:

The total movies are given as 19 mysteries +12 documentaries=19+12=31

Now the number of total combinations such that 4 movies are rented is given as [tex]^{31}C_4=31465[/tex]

Now the number of total combinations with no documentary is given as

[tex]^{19}C_4=3876[/tex]

So the number of combination such that at least one movie is documentary is given as

=Total Combinations-Combinations with no documentary

=31465-3876

=27589

So the total number of combinations in which the movies can be rented such that there is at least one documentary is 27589.

Answer:

31465

Step-by-step explanation:

31C4=31465