Counting the different ways of the week between 2 dates

I am pretty good with formulas but I am kind of stuck on thinking of a good method to use for this problem.

If I have 2 dates, let's say 10/9/14 and 20/9/14, I want to have a table which has the days of the work week Monday, Tuesday, Wednesday, Thursday, Friday, and I want there to be a formula that counts how many of that work week day was in between those 2 dates. For example using the above problem, the answer for Monday would be one as there is only one monday between those dates. How would I go about doing that? Your help is much appreciated!

Thanks so much mikeTRON! This is just what I was after.

Another great solution, thanks Tony, I will have a play with that as well!