Q: in how many ways a cricketer can complete 300 runs exactly with only 6s and 4s?
@viewpt said:Q: in how many ways a cricketer can complete 300 runs exactly with only 6s and 4s?
26?
6s 4s
====
50 0
48 3
. .
. .
0 75
@viewpt said:Q: in how many ways a cricketer can complete 300 runs exactly with only 6s and 4s?
26..
@viewpt said:Q: in how many ways a cricketer can complete 300 runs exactly with only 6s and 4s?
6x+4y = 300
=>3x+2y = 150
=>x = 50 - 2y/3
since x is non-negative integer hence y must be a multiple of 3, also (2y/3) cannot be greater than 50, otherwise x becomes -ve.
=> y can take any value which is multiple of 3 and
hence 0,1,....75 are 26 possible values.
ATDH.
@jai.tuteja said:@ankittripathi total no of solutions for 6a + 4b=300...
No. of possible solutions, neglecting negative solutions is 26
@ankittripathi yup.... correct..!!!
please share the shortcut formula.. I mean the PnC shortcut method.....
find the sum of the first 20 terms of the series 2*3,4*6,6*9,8*12.....
The total number of integral solutions for (x,y,z) such that xyz=24,is
