Find the number of ways a batsman can score a double century only in terms of 4's & 6's?
Assume the batsman scored x 4's and y 6's. Choose the correct choice from the following answers:
A) 22
B) 16
C) 77
D) 91
E) 13
4x + 6y = 200 ⇒2x+3y=100⇒2x+3y=100 ⇒x=100−3y2=50−32y⇒x=100−3y2=50−32y   As x is an integer, y should be a multiple of 2.   If   y = 0, x = 50   y = 2, x = 47   y = 4, x = 44   ...   y = 32, x = 2   So total ways are (32-0)/2 + 1= 
<gadget id="calculator">(32-0)/2 + 1</gadget>
<output>17</output>
17 ( if 0 6's are possible) otherwise 16   Answer:16
<result>B</result>
Find the number of ways a batsman can score a double century only in terms of 4's & 6's?
Assume the batsman scored x 4's and y 6's.