Finding the number of days a range contains within a month

[britt@wjg]

I have a column with a start date and another with a finish date for each row. I have columns to the right of that with headers for each month. I want a formula to tell me how many working days are contained in that range of start to finish in each month. Below is an example where I manually entered the answer I need excel to find with the formula. I need this to take out the holidays as well. Please help!