Exact number of events to get the expected outcoms Suppose in a competition 11 matches are to be played, each having one of 3
distinct outcomes as possibilities. How many number of ways one can predict the
outcomes of all 11 matches such that exactly 6 of the predictions turn out to
be correct?

11 choose 6 ways to select the matches that are correctly predicted. Each of these have to be correct, so you can't sub-choose the outcome (win/loss/draw). But for each of the wrong predictions, you have 2 ways of being wrong. So 2 to the 5 times 11 choose 6.
