LOTF Movie Choosing

Discrete Mathematics Level 4

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 different students in it, so therefore each group is considered distinct.

Image credit: Wikipedia Vega

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