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I'm working on Arcgis 10.3 and have a table as shown below. I need to count each member of the Name field according (and not according) to Class Field.

My_Table

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    I can't figure out exactly what you need to do but it sounds like the Summary Statistics tool will do what you need. – Dan C Apr 27 '15 at 17:21
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If you want to count distinct combinations of Class and Name, you can use the Summary Statistics tool. The key is to use the fields as your Case fields, like so:

enter image description here

This will generate an output table that looks like this:

enter image description here

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    Frequency also works but needs an advanced license, summary statistics does (approximately) the same thing on any license level... it is a very handy tool. – Michael Stimson Apr 27 '15 at 21:56

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