Quandaries
and Queries |
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Here is my question: A combination lock has 60 positions arranged in a circle to which a pointer may be set. Three settings are required to open it and no one setting may be closer than 5 positions from the immediately preceding setting. How many different locks may be manufactured? |
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Hi Kathy, How many ways for the first number? 60 How many for the second? You need to exclude 4 numbers before and after the one you just chose and also the one you just chose. Now repeat your answer from the previous step and apply the multiplication principle. Penny |
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