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