Countif criteria with IF/OR logic across multiple sheets and columns - excel

Question

I've been struggling between the SUMPRODUCT and COUNTIFS formulas as there are a lot of specific dependencies in my data. Wondering if anyone can shed a bit more light on this issue.
Have tried SUMPRODUCT and COUNTIFS which give me calculations based on 1 set, but I need to include additional if/or statements.
I have the following:
| ID | Size | Dead/Alive | Duration | Days | Pass/Fil | Reason |
|----|---------|------------|-----------|------|----------|----------|
| 1 | Full | Dead | Permanent | 125 | Pass | Comments |
| 2 | Partial | Alive | Permanent | 500 | Pass | |
| 3 | Other | Dead | Temporary | 180 | Fail | Comments |
| 4 | No | Dead | Temporary | 225 | Fail | Comments |
| 5 | Yes | Alive | Permanent | 200 | Pass | |
with the following rules:
Only Count the ID/ROW if:
1) Values in column A = Full, Partial or Other
OR...
2) Values in column A = No AND values in column B = Dead
OR...
3) If values in column C = Permanent AND values in column D = >=100 or <=200
OR
4) If values in column C = Temporary AND values in column E = Pass, Fail AND column F=not blank
By my calculations, the total should be 5, but this is just a small sampling of my total data. Just not sure how to get that in Excel with either Sumproduct, Countifs or even someone suggested a Lookup function, although Ive never used that one.

Answer 1

Given that you have so many different conditions, I have to break it down one by one and create a few helper columns to account for each condition.
In my solution I created 10 helper columns as shown below, and I have added some sample data (ID 6 to 29) to test the solution.
I also named 7 conditions in my solution:
Cond_1 Values in column A = Full, Partial or Other
Cond_2 Values in column A = No AND values in column B = Dead
Cond_3A Values in column C = Permanent
Cond_3B Values in column D >=100
Cond_3C Values in column D <=200
Cond_3A, Cond_3B and Cond_3C must be TRUE at the same time
Cond_4 Values in column C = Temporary AND values in column E = Pass
Cond_5A Values in column C = Temporary AND values in column E = Fail
Cond_5B Column F is not blank (I did not give a name to this condition)
Cond_5A and Cond_5B must be TRUE at the same time
Please note my Cond_4, Cond_5A and Cond_5B are all related to your original condition 4), which reads a bit odd, and I am not 100% sure if my interpretation of the condition is correct. If not please re-state your last condition and I can amend my answer accordingly.
As shown in my screen-shot, the formulas in I2 to Q2 are listed in Column U. I only used MAX, AND, SUM, =, &, and/or <> to interpret each condition. Please note some of the formulas are Array Formula so you need to press Ctrl+Shift+Enter to make it work.
The To Count column is simply asking whether the SUM of the previous 9 columns is greater than 1, which means at least one of the conditions is met. If so returns 1 otherwise 0.
Then you just need to work out the total of To Count column. In my example it is 22. I have highlighted the entries that did not meet any of the given condition.
You can use only one helper column to capture all conditions in one formula, but I would not recommend it as it would be too long to be easily understood and modified in future.
{=--(SUM(MAX(--(A2=Cond_1)),MAX(--(A2&B2=Cond_2)),--(SUM(--(C2=Cond_3A),--(AND(D2>=Cond_3B,D2<=Cond_3C)))=2),MAX(--((C2&E2)=Cond_4)),--(SUM(MAX(--((C2&E2)=Cond_5)),--(F2<>""))=2))>0)}
Ps. I would also wonder if there is a formula-based solution without using any helper column...? :)