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A COUNTIF can only have one criteria. What you could do is use four COUNTIF functions in one formula and add them together. So say that you wanted to find the single total of four different names in a list, you could do it like this:

=COUNTIF(A3:A200,"John")+COUNTIF(A3:A200,"Tim")+COUNTIF(A3:A200,"Bob")+COUNTIF(A3:A200,"Ronnie")

If the criteria are combined, rather than searching for four different things, you could use IF with the AND and/or the OR function to first work out if something meets your 4 criteria and put the result in a new column. If it meets all 4 criteria you could put 1 in that cell otherwise 0. Then you could count the amount of times 1 appears on that column with a normal COUNTIF function, or even SUM up all the values and you would also get the total. If you have Excel 2007 or higher, there is a COUNTIFS function which can deal with multiple criteria.

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