Sounds like a job for SUMPRODUCT but note you cannot reference the
entire column using this function.

Assume that A1 is the date you are using as criteria and A2 is the
value you are trying to find in Col F.

=SUMPRODUCT(--(C1:C10=A1)*(--(F1:F10=A2)))

How does this work? C1:C10=A1 creates an array of ten TRUE or FALSE
values where the "--" turns them into 1 for TRUE and 0 for FALSE.
F1:F10=A2 does the same for the other range. SUMPRODUCT multiples each
pair of 1's and 0's then adds them up. So if the first pair (C1 and
F1) evaluate as FALSE and TRUE, the results is 0 x 1 or 0. If the
second pair are both TRUE the result would be 1 x 1 or 1. Add up all
of the ones and you'll have your count.

- John
www.JohnMichl.com