Form 8 digit numbers from by using 1, 2,3,4,5 with repetition is allowed and must be divisible by 4

• Ans.5^7
  for any no divisible by 4 its last two dight is must divisble by it
  now ther is only 5 ways to arrange last two digit means its possibilty or parmuntation is 5
  and for remaining 6 digit at every place there is 5 possibility to chose no so
  that it permuntation is 5^6
  so total it is 5^6*5=5^7 ans
• 14 years agoHelpfull: Yes(36) No(4)
• In order to be divisible by 4, the two least significant digits must be
  12, 24, 32, 44, 52 (a total of 5 choices)
  The other 6 digits can be any of the five allowed digits.
  The total number of possible numbers is
  (5^6)*(5) = 5^7 = 78125
• 12 years agoHelpfull: Yes(33) No(0)
• (12,24,32,54,44) are the five nos that can be formed by 1,2,3,4,5 and can be divisible by 4.
  now,the first six digits can be arranged in 5^6 ways..
  and the the last two digits can be arranged by 5 ways, for the no to be divisible by 4.
  so, the digits can be arranged in 5^6*5 ways=5^7 ways..
• 14 years agoHelpfull: Yes(16) No(9)
• 5^7
  think how many combination can be formed with 1,2,3,4,5 that can be divisible by 4....(4,12,32,24,44)=5 combination
  12digit number need to form so=5^6*5=5^7
• 14 years agoHelpfull: Yes(7) No(6)
• 5^7 coz patern shows...
  5*5*5*5*5*5*5
• 14 years agoHelpfull: Yes(5) No(2)
• Formula (N-1)^n
  where
  N=8,
  n=5
  so.ans= 5^7
• 12 years agoHelpfull: Yes(5) No(1)
• its 5^6
  
  sol: the last two digits can be made in 5 different times(12,24,32,44,52)
  
  and the first 6 digits can be made in
  - - - - - - -
  5 5 5 5 5 5 (5)
  hence the total no of digits allowed are 5^6
• 13 years agoHelpfull: Yes(3) No(6)
• FIRST DIVIDE BY 4 AND 5 NOS ARE USED.
  CONDITION 4,12,24,32,44.SO FOR 8 DIGIT ,FIRST 6 DIGIT 5*5*5*5*5*5=5^6
  AND LAST 2 DIGIT HAVE 5 COMBINATION SO 5^6*5=5^7.
• 13 years agoHelpfull: Yes(3) No(2)
• last no div by 4 are 12,24,32,44,52. so for 6 digits no f ways =6*6*6*6*6*6= 6^6
  total ways= 5*6^6
• 14 years agoHelpfull: Yes(2) No(22)
• the most simple trick for this question is that the number having unit digit 5 will be the answer.leave other answers.
• 14 years agoHelpfull: Yes(1) No(3)
• All the ans are dummy ,as we have to form 8 digit no which is divisible by 4,so the ans is 12345132
• 9 years agoHelpfull: Yes(0) No(1)