One day, 7 friends decided to find a rare Mathematics book (Imagine the ancient Fermatâ€™s notebook). To do so, they sourced out 5 oldest bookshops in the world. However, due to time constraint (they have to get the book before someone else does), they decided to split themselves up such that there is at least 1 person who visits each bookshop. Find the number of ways that they can arrange themselves divided by 100.

**Details and Assumptions** :-

The 7 friends are considered distinct people. Same applies for the 5 bookshops

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