Question

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Use the Fundamental Counting Principle to solve.
A television programmer is arranging the order that three movies will be seen between the hours of 6 P.M. and 12
A.M. Two of the movies have a G rating, and they are to be shown in the first two time blocks. One of the movies is
rated NC-17, and it is to be shown in the last of the time blocks, from 10 P.M. until 12 A.M. Given these restrictions,
in how many ways can the three movies be arranged during the indicated time blocks?


The number of different ways the three movies can be arranged during the indicated time blocks is.
(Type a whole number.)

Answer 1

`number \: of \: movies = 3 \\ permutations = 2 \\ \\ c( \gamma ) = 2! * 1 = 2 \: ways`

`g(1) \: \: \: \: g(2) \: \: \: \: nc(17) \\ g(2) \: \: \: \: g(1) \: \: \: \: nc(17)`