Lookup in looked-up rage

Hello all,

I dont know if it's possible to do at once.
But I have a sheet (sheet1) with some information and another sheet (sheet2) where I want to pull information.

Now in sheet 1 I have 2 columns. 1 with a date and another with a name.

In sheet 2 I want to have (in cell A1) the number of times the names is listed within a certain date.

Example:
Sheet 1:
Column A contains: 1-1-2014, 1-2-2014, 2-2-2014, 4-2-2014, 3-3-2014...
Column B contains: Piet, Jan, Jan, Piet, Jan

Sheet 2:
Cell A1: (A formula to find the number of times Jan is listed in febuari 2014)

I have some ideas on how to do it, but I think it will be a bit messy and not even sure if I can work it out -.-.

Thanks in advance

Been playing a bit myself with the formulas, but no result yet.
I do not know how to use sumproduct here.


See below for the file.
Excelproblem.xlsx

Check the function in attached file.

I looked at pepe's post. Clever.

Will look at Fotis now... either way.. I have a solution :D

thanks guys! was very fast