In how many ways coin of 1 rupee and 2 rupee is arranged to get a value of 100 rupee? (Example for 5 rupee we can arrange it in 3 ways {(1,1,1,1,1) (1,1,1,2)(1,2,2)}

• this can be represented as
  x + 2*y = 100
  we can see that it has 51 different pairs from x = 0 to x = 100. each with difference of 2 so 51 pairs.
• 6 years agoHelpfull: Yes(8) No(7)
• Let X be the number of 1 rupee and Y be the number of 2 rupees coin
  
  X+Y= 100
  
  Take x = 100, Y=0
  
  Likewise,Y=1, X=98
  
  It will go till Y=50, X=0
  
  Therefore there are 51 ways
• 6 years agoHelpfull: Yes(8) No(1)
• ({1,1,1,....1}100 1's)+({1,1,1...1,2}98 1's+.....({2,2,.....}0 1's
  I.e series is 0+2+4+6+8.......100
  From a.p
  TN=a +(n-1)d
  100=0+(n-1)2
  n= 51 and.
  (51 ways)
• 5 years agoHelpfull: Yes(4) No(0)
• Answer is 51..
• 6 years agoHelpfull: Yes(2) No(1)
• 2 ={(1,1)(2)}=2WAY
  3={(1,1,1)(1,2)}=2WAY
  4={(1,1,1,1)(1,1,2)(2,2)}=3WAY
  5=3WAY
  6={(1,1,1,1,1,1)(1,1,1,1,2)(1,1,2,2)(2,2,2)}=4way
  .
  .
  .
  100={(1,1...)(1, 1,...,2)...(2,2..2)}=51ways
• 5 years agoHelpfull: Yes(1) No(0)
• 2 rupz 1rupee
  0 100--------->1 way
  1 98----------->2 way
  2 96------------>3 way
  (like wise until 50-->2 rupz and 0--- >1 rupee)
  total number of ways are 0 to 50 i.e 51.
  
  The answer is 51
• 5 years agoHelpfull: Yes(0) No(0)