Question

Sarah is picking out some movies to rent , and she is primarily interested in comedies and horror films . she has narrowed down her selections to 19 comedies and 14 horror films.how many different combinations of 4 movies can she rent ?

Answer 1

Sarah is picking out some movies to rent , and she is primarily interested in comedies and horror films . she has narrowed down her selections to 19 comedies and 14 horror films.





how many different combinations of 4 movies can she rent ?​

we have

total selections=19+14=33 selections

Find out the combination

n=33 and r=4

`33C4=(33!)/(4!(33-4)!)`
`33C4=(33!)/(4!(29)!)=(33\cdot32\cdot31\cdot30)/(4\cdot3\cdot2\cdot1)`

33C4=40,920 combinations