Given,
The total number of comedian movies is 19.
The total number of horror movies is 14.
The number of movies in combination is 4.
The number of atleast horoor movies is 1.
The total number of combination are:
[tex]\begin{gathered} Total=^{19}C_0\times^{14}C_4+^{19}C_1\times^{14}C_3+^{19}C_2\times^{14}C_2+^{19}C_3\times^{14}C_1 \\ =1\times1001+19\times364+91\times171+969\times14 \\ =1001+6916+15561+13566 \\ =37044 \end{gathered}[/tex]
Hence, there are total 37044 combinations.
