how many number of 3 digit numbers can be formed usingzs numbers 1,2,3,4 in which 1 number can be repeated..?

• ambiguity in question
  If 1 number can be repeated for any no of times then
  4*4*4 = 64
  If 1 number can be repeated for one time then
  4*4*3 = 48
• 10 years agoHelpfull: Yes(28) No(1)
• sorry 48
  4*4*3 = 48
• 10 years agoHelpfull: Yes(15) No(3)
• For first place any of the 4 number can be placed, for 2nd place again any of the 4 number can be placed as 1 number can be(not has to be)repeated, for 3rd place any of the remaining 3 numbers can be placed
  4*4*3=36
  
• 10 years agoHelpfull: Yes(2) No(11)
• 64 is the answer
• 10 years agoHelpfull: Yes(2) No(4)
• take 3 postions _ _ _
  1 can be repeated as 3,2,1,0
  3 times repetition case: 1 1 1
  2 times repetition case:one place can be selected and filled with any of numbers(2,3,4)=3c1*3
  1 time repetition case:2 places can be selected and filled with any numbers(2,3,4)=3C2*3*2
  ans:1+9+18
• 10 years agoHelpfull: Yes(1) No(0)
• we can take this prblm as the 3 digit number without 1, 1 repeated for one time, 1 repeated for two times and 1 repeated for 3 times.
  
  without repetition of 1:- 3! =6
  1 repeated once:- 3*3P2 =18
  1 repeated twice:- 2*3 =6
  1 repeated thrice:- 1 =1
  
  total numbers can be formed are: 31
• 10 years agoHelpfull: Yes(1) No(0)
• if all place contain 1,than it is in 1 way i.e 1*1*1
  if 2 place contain 1,it is in 9 ways=3*3*1*1
  if 1 place or no place contain one that is in 4*3*2 ways
  so total 1+9+24=34 ways is possible
• 10 years agoHelpfull: Yes(1) No(0)
• Condition will collide,
  
  For first place, any of the 4 numbers i.e., 4ways
  For 2nd place, any of 4 numbers i.e., 4ways and
  1.) if it takes digit '1' then for 3rd place any of 4 numbers(1 repition is allowed) i.e., 4ways
  2.) if it takes any other digit, then for 3rd place any of 3 numbers i.e., 3ways
  
  add the cases,
  
  4*4*4+4*4*3=112
• 10 years agoHelpfull: Yes(0) No(3)
• can Any 1 explain how 3 digit numbers can be formed using 1,2,3,4.
  what is 1 number can be repeated.,then how?
• 10 years agoHelpfull: Yes(0) No(0)
• first digit never comes 0 =3,2nd digit=4 and 3rd=4-2=2,so ways are 3*4*2=24
• 10 years agoHelpfull: Yes(0) No(0)