It looks like you just want to count how many times a character appears in column C.
Since you're using Excel 2010, you can use COUNTIFS for this:
=COUNTIFS($B:$B, 1, $C:$C, "c")
This will count the # of times Column B has a 1 in it, and column C has a "C" in it. If column B has a 1 but Column C has a "D" (or anything other than "C") in it, it will not be counted.
RE: Additional Details.
Wildcards like that won't work as the formula will count everything. Also, COUNTA and other functions may not work exactly as you'd like. I would suggest entering the 2 values you want to check for in 2 other cells. Any cell will do, but for the sake of simplicity here, I will use D1 and E1.
=COUNTIFS($B:$B, $D$1, $C:$C, $E$1)
This way, you can change whatever you want to get the counts for. Putting a number 1 in D1 and the letter C in E1 will have the same result as hard-coding like I did in the previous formula. I prefer using the 2nd method since it's more flexible.