Quandaries
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What are the number of permutations (Combinations?) of a combination lock of a cylinder with four separate movable rings. Each ring has the numbers from one to six (six "permutations" per ring). This is a bicycle lock. I was told that it is 6 Is this correct?. |
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Hi, 1296 is correct. Each ring has 6 possible positions. Select a number on the first ring. You can do this in 6 possible ways. Now, for each of the 6 possible choices for the first ring, you have 6 possibilities for the second. Thus for the first two rings there are 6 6 = 36 possibilities. In a similar way, for each of the 36 possible choices for the first two rings there are 6 possibilities for the third and thus 6 Penny |