Solution
Given:
Number of total movies = 11
Number of science fiction movie = 6
Number of horror movie = 5
Computation:
Number of science fiction movies way air = 6!
[tex]\begin{gathered} =\text{ 6}\times5\times4\times3\times2\times1 \\ =\text{ 720} \end{gathered}[/tex]
Number of horror movies way air = 5!
[tex]\begin{gathered} =\text{ 5}\times4\times3\times2\times1 \\ =\text{ 120} \end{gathered}[/tex]
The number of ways the station air the movie marathon
[tex]\begin{gathered} =\text{ 720 }\times\text{ 120} \\ =\text{ 86400 ways} \end{gathered}[/tex]
Final answer
86400 ways
