Excel 2007 : Count based on year in a row of dates

I have an Excel file that lists a date that corresponds to each time a photo was used. I need to count the usage based on a specified year, but haven't found the right function to do this. Here's a rough example:

Photo name | Usage | Date(C | Date(D) | Date(E)

MyDog.jpg | #here | 1/1/2010 | 3/7/2010 | 1/21/2011

The usage column needs a function that counts the number of uses in 2010 based on columns C, D and E (there are actually columns out to Z). So, in this example, the number in the usage column should be 2.

I've tried COUNTIF and SUMPRODUCT, but so far have been unsuccessful. Thanks in advance for any help you can provide.

Kevin