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Can somebody answer the unsolved ones ?

Can somebody answer the unsolved ones ?-example-1
User GSite
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there are 15 students in math class.at the begning of class everyone races into class as everyone love maths.the professor takes note of the first 5 students who gets class and ranks them according to the order in which they entred as their top 5 favourite students. in how many different ways could the professor rank their top 5 students using formulla from combinations and permutations
User Jittakal
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