While attending a film festival you decide that there are 12 movies that you are interested in seeing. However, you only have time to see 7 movies. In how many different ways can you watch 8 of the 12 movies?

Question

While attending a film festival you decide that there are 12 movies that you are interested in seeing. However, you only have time to see 7 movies. In how many different ways can you watch 8 of the 12 movies?
A. 19,958,400
B. 12
C. 9,979,200***
D. 1,663,200

Reiny · Answer

I thought you only had time to watch 7 movies, so which is it ? btw, P(12,8) = 19,958,400