I have written two blog posts about counting unique and unique distinct values in a range and two ranges combined.

Count unique values and unique distinct values in two ranges combined
Count unique and unique distinct values in a multicolumn range in excel

Now it is time for three ranges combined.

unique-distinct-values-in-three-ranges-combined

Formula in D17:

=SUM(1/(COUNTIF(Table1, Table1)+COUNTIF(Table2, Table1)+COUNTIF(Table3, Table1)))+SUM(1/(COUNTIF(Table2, Table2)+COUNTIF(Table1, Table2)+COUNTIF(Table3, Table2)))+SUM(1/(COUNTIF(Table3, Table3)+COUNTIF(Table1, Table3)+COUNTIF(Table2, Table3))) + CTRL + SHIFT + ENTER

Formula in D21:

=SUM(IF((COUNTIF(Table1, Table1)+COUNTIF(Table2, Table1)+COUNTIF(Table3, Table1))=1, 1, 0))+SUM(IF((COUNTIF(Table2, Table2)+COUNTIF(Table1, Table2)+COUNTIF(Table3, Table2))=1, 1, 0))+SUM(IF((COUNTIF(Table3, Table3)+COUNTIF(Table1, Table3)+COUNTIF(Table2, Table3))=1, 1, 0)) + CTRL + SHIFT + ENTER

Named ranges
Table1 (A1:D4)
Table2 (A6:D9)
Table3 (A11:D14)
What is named ranges?

How to implement array formula to your workbook
Change named ranges.

Download excel sample file for this tutorial.
count-unique-and-unique-distinct-values-in-three-multicolumn-ranges-combined.xls
(Excel 97-2003 Workbook *.xls)

The excel sample file generates new random values in all three ranges every time you press F9.

Functions in this article:

COUNTIF(range,criteria)
Counts the number of cells within a range that meet the given condition

SUM(number1,[number2],)
Adds all the numbers in a range of cells

IF(logical_test;[value_if:true];[value_if_false])
Checks whether a condition is met, and returns one value if TRUE, and another value if FALSE

This blog article is one out of twelve articles on the same subject "count unique and unique distinct".