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?

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Mathematics

Gisselle Moon

1 January, 02:53

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?

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Yael · Answer 1

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:

2*1*4*3*2*1*1 ways = 48 ways