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I manually input combinations of say 3 numbers ...
Combination ( 1 ) - Cells B3:D3 = Combination 01 02 03 Combination ( 2 ) - Cells B4:D4 = Combination 01 02 04 Combination ( 3 ) - Cells B5:D5 = Combination 01 03 05 .... in an Excel sheet named "Data" in Cells "B3:D?" or whatever. In a sheet named "Statistics" in Cell "D10" I would like to have the total combinations covered for the 2 if 3 category. This requires calculating ALL the combinations available ( Equivalent to Excels COMBIN(5,3) formula ) in memory and then comparing each one to each combination in the sheet named "Data" to see if there is at LEAST 2 numbers in common. If there is then that particular combination is covered and 1 is added to the total and there is no need to check the rest of the cominations for that particular 2 if 3 scenario. All the combinatios for 3 numbers from 5 are as follows ... ( A ) 3 number = 01 02 03 produces 2 number = 01 02, 01 03, 02 03 ( B ) 3 number = 01 02 04 produces 2 number = 01 02, 01 04, 02 04 ( C ) 3 number = 01 02 05 produces 2 number = 01 02, 01 05, 02 05 ( D ) 3 number = 02 03 04 produces 2 number = 02 03, 02 04, 03 04 ( E ) 3 number = 02 03 05 produces 2 number = 02 03, 02 05, 03 05 ( F ) 3 number = 03 04 05 produces 2 number = 03 04, 03 05, 04 05 .... so ... ( A ) 01 02 is covered in combination ( 1 ) so 1 is added to the total for 2 if 3 and we can stop checking for that cover although 01 02 is also covered in combination ( 2 ). ( A ) 01 03 is covered in combination ( 1 ) so 1 is added to the total for 2 if 3 and we can stop checking for that cover although 01 03 is also covered in combination ( 3 ). ( A ) 02 03 is covered in combination ( 1 ) so 1 is added to the total for 2 if 3 and we can stop checking for that cover ( not covered anywhere else anyway ). ( B ) 01 02 is covered in combination ( 1 & 2 ) but we ignore it because is was covered in ( A ) and 1 has already been added to the total. ( B ) 01 04 is covered in combination ( 2 ) so 1 is added to the total for 2 if 3 and we can stop checking for that cover ( not covered anywhere else anyway ). ( B ) 02 04 is covered in combination ( 2 ) so 1 is added to the total for 2 if 3 and we can stop checking for that cover ( not covered anywhere else anyway ). ( C ) 01 02 is covered in combination ( 1 & 2 ) but we ignore it because is was covered in ( A ) and 1 has already been added to the total. ( C ) 01 05 is covered in combination ( 3 ) so 1 is added to the total for 2 if 3 and we can stop checking for that cover ( not covered anywhere else anyway ). ( C ) 02 05 is NOT covered anywhere and so is ignored all together. ( D ) 02 03 is covered in combination ( 1 ) but we ignore it because is was covered in ( A ) and 1 has already been added to the total. ( D ) 02 04 is covered in combination ( 2 ) but we ignore it because is was covered in ( B ) and 1 has already been added to the total. ( D ) 03 04 is NOT covered anywhere and so is ignored all together. ( E ) 02 03 is covered in combination ( 1 ) but we ignore it because is was covered in ( A ) and 1 has already been added to the total. ( E ) 02 05 is NOT covered anywhere and so is ignored all together. ( E ) 03 05 is covered in combination ( 3 ) so 1 is added to the total for 2 if 3 and we can stop checking for that cover ( not covered anywhere else anyway ). ( F ) 03 04 is NOT covered anywhere and so is ignored all together. ( F ) 03 05 is covered in combination ( 3 ) but we ignore it because is was covered in ( E ) and 1 has already been added to the total. ( F ) 04 05 is NOT covered anywhere and so is ignored all together. .... which means that out of the 10 combinations tested, 7 are covered for the 2 if 3 category. It would be useful to have the total combinations tested which could go in Cell "C10". Hope this Helps. All the Best. Paul |
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