Key Ring
Posted on Saturday, July 31, 2010 in Mens Clothing
Key Ring
How many ways can 9 keys be arranged on a key ring? 10 Points for Explanation!?
How many ways can 9 keys be arranged on a circular key ring?
Total keys: 9
Number of ways: 9! = 9*8*7*6*5*4*3*2*1= 362880
Can you please show me how to do this the right way? Thanks
If you mean the order of the keys, then your answer makes some sense: 362,880
But if the ring is circular, then it’s “wraparound”, i.e. 123456789 is the same as 567891234, right? So then divide your answer by 9 to get 40,320.
But what about reversing the keys, i.e. flipping them over, attaching them the other way? Or decorating them with colours? Or any other arrangement? The possibilities are endless.
key/ring – Scott Amron
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