The results of 6 soccer matches(win,loss or draw) are to be predicted. How many different forecasts can contain exactly 2 correct results?
So 2 correct results and 4 incorrect results. First I can select 2 matches out of 6 in $_6C_2$=15 ways. Now for each of these 15 forecasts containing 2 correct results, the remaining 4 matches can be selected in 4! ways. So 15*4! forecasts are possible.
What am I doing wrong?