In a one day international cricket match, a batsman play 50 balls.
The run scored as follows
Run Scored
0
1
2
3
5
13
No. of Balls
11
7
6
0
Answers
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Score =0,1,2,3,4 or 6 from a ball
Number of different sequences in which he can score exactly +30 runs in an over of 6 balls is
Possibilities Permutations
6,6,6,6,6,0
5!
6!
=6
6,6,6,6,4,2
4!
6!
=30
6,6,6,6,3,3
4!2!
6!
=15
6,6,6,4,4,4
3!3!
6!
=20
Total ways =6+30+15+20
=71
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