Others Maths Puzzle

In how many different ways 3 different rings can be worn on 5 fingers of a hand?

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Others Other Question

Number of ways 360 can be written as product of 3 natural numbers x,y,z such that x,y and z are distinct? In how many way can 210 be expressed as a product of 3 distinct factors?
My answer is 16(4c2+4c2+4c3),but the actual ans is 13...pls give me a plausible solution!