The COUNTIFS function takes multiple criteria in pairs — each pair contains one range and the associated criteria for that range. To generate a count, all conditions must match. To add more conditions, just add another range / criteria pair.
You can also use the SUMPRODUCT function to count rows that match multiple conditions. the equivalent formula is:
SUMPRODUCT is more powerful and flexible than COUNTIFS, and it works with all Excel versions, but it is not as fast with larger sets of data.
Pivot table alternative
If you need to summarize number of criteria combinations in a larger data set, you should consider pivot tables. Pivot tables are a fast and flexible reporting tool that can summarize data in many different ways. For a direct comparison of SUMIF and Pivot tables, see this video.
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