SOLVED: The Chicken McNugget Problem: In the UK, McDonald's originally sold Chicken McNuggets in packs of 6, 9, and 20. There are certain numbers of nuggets you can't buy using a combination of these sizes. For instance, if one wanted to buy 21 nuggets, they cannot, because you cannot get to 21 by adding combinations of 6, 9, and 20. Use strong induction to prove that with McNugget packs of 6, 9, or 20, you are able to order any number of McNuggets greater than or equal to 44.
SOLVED: The Chicken McNugget Problem: In the UK, McDonald's originally sold Chicken McNuggets in packs of 6, 9, and 20. There are certain numbers of nuggets you can't buy using a combination of these sizes. For instance, if one wanted to buy 21 nuggets, they cannot, because you cannot get to 21 by adding combinations of 6, 9, and 20. Use strong induction to prove that with McNugget packs of 6, 9, or 20, you are able to order any number of McNuggets greater than or equal to 44.
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