In English Class, after studying a book called \The Lord of the Flies" by William Golding, students are split into 6 groups and each group is required to make a film based on one of the 8 important scenes in the novel. Each group can choose which scene they are creating a film of. However, to make sure there is a variety of scenes being created, there can only be a maximum of 2 groups creating the same scene. Find the last 3 digits of the number of possible ways there are for each group to choose a scene. Details and Assumptions Each group has dierent students in it, so therefore each group

Question

In English Class, after studying a book called \The Lord of the Flies" by William Golding, students are split into 6 groups and each group is required to make a film based on one of the 8 important scenes in the novel. Each group can choose which scene they are creating a film of. However, to make sure there is a variety of scenes being created, there can only be a maximum of 2 groups creating the same scene. Find the last 3 digits of the number of possible ways there are for each group to choose a scene. Details and Assumptions Each group has dierent students in it, so therefore each group