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The investigation of coin combinations
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- Words:
- 291
- Submitted:
- Thu Jul 11 2002
... The investigation of coin combinations In this investigation we had to try and find out all the different ways of paying for phone calls with different value coins. We started off with 10p and 20p's and worked out all the combinations using them to make a pound. I did all the values up to a pound aswell so I could work out a formula. Combination for 10p: 10p For 20p:10+10, 20 For 30p: 10+10+10, 20+10, 10+20 For 40p: 10+10+10+10+10, 20+10+10, 10+20+10, 10+10+20, 20+20 And so on. I got this table of results. As you can see there is no pattern that is because these results follow the Fabernacci sequence where the previous 2 values e.g 5+8 added together equal the next value, 13. With this in mind you can predict that the next value will be 55+89=144 To see if other values of coins did this I tried it with 10p and 30p's. This doesn't follow the Fibernacci
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