Question

the results of 8 matches (win loss or draw) are to be predicted. the number of different forecasts containing exactly 6 correct results is​

Answer 1

# Answer = 112.

# Explanation-

Suppose out of the 8 matches, 6 correct results are to be predicted.

This can be done in 8C6 ways.

8C6 = 8! / 6!×2!

8C6 = 8×7×6! / 6!×2×1

8C6 = 56/2 = 28

Also, for remaining two matches result is incorrect i.e. other two possibilities.

Hence, we can select those matches 2×2=4 ways.

Total number of different forecasts containing exactly 6 correct results will be 28×4 = 112 ways.

Hope it helps...