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A television programmer is arranging the order that seven movies will be seen between the hours of 6 P.M. and 8 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 6 A.M. until 8 A.M. Given these​ restrictions, in how many ways can the seven movies be arranged during the indicated time​ blocks?

Verified Answer :

A television programmer is arranging the order that seven
movies will be seen between the hours of 6 P.M. and 8 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 6 A.M. until 8 A.M. Given these​ restrictions the movie can be
arrange in:

2143211 ways = 48 ways