Bubble Code Numbers

 
4 This diagram shows some Code Numbers:
Can you work out the code numbers for all your five-bubble pictures?
 
5 Not all numbers are Code Numbers. They obey rules. Can you explain why the following numbers are not code numbers for five-bubble pictures:
11113 21111 12311 22322
Try to make up the rules that Code Numbers should obey.
 
6 Make a list of the 9 Code Numbers for all the four-bubble pictures. Write the list in a column in increasing order.
Try to work out a way of getting each code number from the previous one.
Now make a list of your five-bubble Code Numbers in increasing order. Work through your list carefully trying to find any missing Code Numbers. If you find any then draw the corresponding Picture.
 
7 How many ways of blowing six bubbles are there? Try to use Code Numbers to find out.
 
8 Is there a formula that tells you the number of ways ,W, that you can blow B bubbles? Investigate.
 

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Go to Amazing Number Facts No 14 for inspiration
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