there are digits from 1 to 6 .from that 5 digit no are to be formed such that they are divisible by 4. find no of possible combinations?

• of last two digit divisible by 4 then the no will be divisible by 4.
  Here it is not mentioned about repetation so we will check both condition one by one.
  A) w/o repeatations.
  possible last two digits= 12, 16, 24, 32, 36, 52, 56, 64
  so total of 8 ways to fill last two digit.
  remaining 3 digits can be filled by (6-2)! =4! ways=24 ways
  so total no of ways=24*8=192 ways.
  B)with repeataions
  possible last two digits= 12, 16, 24, 32, 36,44, 52, 56, 64
  so total of 9 ways to fill last two digit.
  remaining 3 digits can be filled by 6*6*6 ways=216 ways
  so total no of ways=216*9=1944 ways.
  
  now check the given option to get suitable ans.
  
• 9 years agoHelpfull: Yes(55) No(6)
• There will be 8 different ways to fill the last two digits i.e ;- 12,16,24,32,36,52,56 and 64
  For the rest 3 digits we have (6-2)! = 24 ways left
  so Total no. of ways = 8*24=192 ways.
  (As nothing is mentioned about the repetition so we can take it as repetition is allowed.)
• 8 years agoHelpfull: Yes(4) No(0)
• what about 372
  
• 9 years agoHelpfull: Yes(1) No(4)
• ANS=192
  FIND NUMBER WHICH IS DIVISIBLE BY 4 OUT OF (1,2,3,4,5,6)
  
  DIVISIBILITY RULE OF 4 IS=LAST 2 DIGIT DIVISIBLE BY 4 THEN WHOLE NUMBER WILL BE DIVIDED BY 4
  
  12----= (12,16,24,36,52,56,64)-->THIS IS NUMBER WHICH FORM USING 1 TO 6 WHICH IS DIVISIBLE BY 4
  16----=
  20
  24----=
  28
  32---=-
  36----=
  40
  44
  48
  52-----=
  56-----=
  60
  64-----=
  68
  72
  
  4 * 3 * 2 * (TOTAL 8 NUMBER)=24*8=192ANS
  ---- ------- ------ ---------
  
• 8 years agoHelpfull: Yes(1) No(0)
• - - - - -(12,16,24,32,36,44,52,56,64)
  6*6*6*9=1944 Ans
• 8 years agoHelpfull: Yes(0) No(1)
• as it is not mentioned, dat repeation is not allowed...wid reptns........
  a/c 2 dat
  last 2 digits no i.e., divisible by 4... are 12,16,24,28,32,36,52,56
  so der is 8 ways to fill last two digit
  remaining 3 places can be filled y 6*6*6 =216
  216*8= 1628
• 8 years agoHelpfull: Yes(0) No(1)