Published by:
CGP EDU Academic Team
Published on: August 13, 2026
A batsman scores exactly a century by hitting fours and sixes in twenty consecutive balls. In how many different ways can he hit either six or four or play a dot ball?
Text Solution
Verified by ExpertsThe correct answer is:
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Sol. Let the batsman hit 'x'– fours
'y' – sixes
'z' = may not yield runs
4x + 6y + 0z = 100
x + y + z = 20
make equation in y & z
y – 2z = 10
y = 10 + 2z
x y z
10 10 0
7 12 1
4 14 2
1 16 3
Total number of ways 
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