giiven digits 2,2,3,3,4,4,4,4 how many distinct 4 digits number can be formed grater than 3000

• As our four digit numbers have to be greater than 3000, so we have only two options -- the numbers will start with 3 or 4.
  
  CASE 1: (Format of the no. is 3 * * *)
  Now we have the digits 2, 2, 3, 3, 4, 4, 4, 4
  Now if we consider that there are one 2 and one 3 more, then the blank spaces could be filled up in 3X3X3 ways, i.e. in 27 ways.
  But we have two options less, as we cannot form 3222 and 3333.
  So in this case, total no. of numbers is (27 - 2) = 25.
  
  CASE 2:(Format of the no. is 4 * * *)
  Now we have the digits 2, 2, 3, 3, 3, 4, 4, 4
  Now if we consider that there is one 2 more, then the blank spaces could be filled up in 3X3X3 ways, i.e. in 27 ways.
  But we have one options less, as we cannot form 4222.
  So in this case, total no. of numbers is (27 - 1) = 26.
  
  Here from the above two cases, we see that there are (25 + 26) = 51 such numbers.
  
• 9 years agoHelpfull: Yes(14) No(3)
• the 1st place will be filled by either 3 or 4 then it will be 2!
  the 2nd place will be filled by rest of 7 number so 2!*7
  the 3rd place will be filled by rest of 6 number so 2!*7*6
  the last place will be filled by 5 number so 2!*7*6*5=420
• 9 years agoHelpfull: Yes(5) No(10)
• 0 because only 3 distict digits are given and we have to find distict 4 digits number.... dummy question
• 9 years agoHelpfull: Yes(4) No(7)
• 48 is the correct answer Mr Neel !
• 9 years agoHelpfull: Yes(0) No(0)