A batsman can score 0,1,2,3,4 or 6 runs from a ball. the number of different sequences... A batsman can score 0,1,2,3,4 or 6 runs from a ball. the number of different sequences in which he can score exactly 30 runs in an over of six balls is:

The possibilities are , 1) 5 sixes and a zero. 2) 4 sixes and a four and a two. 3) 3 sixes and 3 fours. 4) 4sixes and a 2 three.

So possible ways are, $$\frac{6!}{5!} + \frac{6!}{4!} + \frac{6!}{3!×3!} +\frac{6!}{4!×2!}$$ $$=71$$