Question

Q18. in how many ways a cricketer can score a double century (200 runs) with only boundaries (fours) and over boundaries (sixes)?

Answer 1

4's and 6's
------------
50 0
47 2
44 4
41 6
38 8
35 10
32 12
29 14
26 16
23 18
20 20
17 22
14 24
11 26
8 28
5 30
2 32
So total 17 ways but here it is 4's & 6's both so don't consider 1st one

Answer 2

hey mate,,,


here's ur answer....


4x+6y=200
i.e. 2x+3y=100
x=(100-3y)/2
so for each even value of y we will get an integral value of x
so for y=2 x=47, y=4 x=44 and so on, y increases by 2 and x decreases by 3.
So finally we get 16 values of x and y such that they are both greater than 0.
Ans =16


hope it is helpful