Question

A TV station is going to air a movie marathon with 8 movies. It will consist of 2 science fiction movies and 6 horror movies. The horror movies will be aired later in the evening. So, all of the horror movies will be aired last (after both of the science fiction movies). In how many ways can the station air the movie marathon?

Answer 1

Total ways to run movies = 1,440

Explanation:

Given:

Number of total movies = 8

Number of science fiction movie = 2

Number of horror fiction movie = 6

Find:

Total ways to run movies.

Computation:

Number of science fiction movies way air = 2!

Number of science fiction movies way air = 2×1

Number of science fiction movies way air = 2

Number of horror fiction movies way air = 6!

Number of science fiction movies way air = 6×5×4×3×2×1

Number of science fiction movies way air = 720

Total ways to run movies = 2 × 720

Total ways to run movies = 1,440