Harvey Waxman said:
Please forgive my obtuseness but could you explain them in English?
The more I can learn the less I'll bother you
Well, if *that's* the goal, I'll try to help you learn how to learn...<g>
You can experiment yourself with how these formulae work. Put the
numbers 1-9, in any order, in A1:C3.
The heart of the first formula is
SUMPRODUCT((A1:C3<>"")/COUNTIF(A1:C3,A1:C3&""))
so break it down a bit. Select E1:G3 and array-enter (CMD-RETURN):
=1/COUNTIF(A1:C3, A1:C3&"")
(It must be array-entered - SUMPRODUCT() is an array function that
doesn't require CMD-RETURN).
In E5:G7 array enter:
=(A1:C3<>"")/COUNTIF(A1:C3,A1:C3&"")
In E9 enter
=SUMPRODUCT((A1:C3<>"")/COUNTIF(A1:C3,A1:C3&""))
In E10 enter
=COUNTA(A1:C3)
In E11 enter
=SUMPRODUCT((A1:C3<>"")/COUNTIF(A1:C3,A1:C3&""))=COUNTA(A1:C3)
Now, start changing values in A1:C3. Duplicate one number. How do all
the formulae change? Enter that number in a third cell, now how do the
formulae change?
Restore the values 1-9 in A1:C3. Clear a cell. How do all the formulae
change?
You can do the same thing with the second formula. In E1 enter
=COUNTIF($A$1:$C$3, A1) = 1
copy that formula to the range E1:G3. Start changing values in A1:C3.
Duplicate some. What happens?
If you can't figure out what's going on, post back, but the above
technique is how I approach formulae that seem obscure...