Highlight duplicate rows

In the formula, COUNTIFS counts the number of times each value in a cell appears in its "parent" column. By definition, each value must appear at least once, so when the count > 1, the value must be a duplicate. The references are carefully locked so the formula will return true only when all 3 cells in a row appear more than once in their respective columns.

The helper column option "cheats" by combining all values in a row together in single cell using concatenation. Then COUNTIF simply counts the number of times this concatenated value appears in column D.

Helper column + concatenation

If you don't mind adding a helper column to your data, you can simplify the conditional formatting formula quite a bit. In a helper column, concatenate values from all columns. For example, add a formula in column E that looks like this:

=B4&C4&D4

Then use the following formula in the conditional formatting rule:

=COUNTIF($E$4:$E$11,$E4)>1

This is a much simpler rule, and you can hide the helper column if you like.

If you have a really large number of columns, you can use the TEXTJOIN function (Excel 2016 365) to perform concatenation using a range:

=TEXTJOIN(",",TRUE,A1:Z1)

You can then use COUNTIF as above.

SUMPRODUCT

If you're using a version of Excel before 2007, you can use SUMPRODUCT like this:

=SUMPRODUCT((col_b=$B4)*(col_c=$C4)*(col_d=$D4))>1