How many 4 digit numbers even have no repeted digits

• when unit digit contain 0 then
  9*8*7*1(0)=504
  when unit digit not contain 0
  then
  8*8*7*4(2,4,6,8)=1792
  1792+504=2296
  
• 11 years agoHelpfull: Yes(16) No(0)
• we can't place 0 in the first position.
  so, in the first position 9 no. of ways we can place a digit.
  but, in the second position we can place 0 but not the 1st digit's no.
  so, in the second position 9 no. of ways we can place a digit.
  similarly, in 3rd and 4th position 8 and 7 no. of ways respectively.
  so, total no. of ways-->> 9*9*8*7=4536
• 11 years agoHelpfull: Yes(7) No(3)
• 9*8*7[0]+4*8*8*7[2,4,6,8]=2296
• 11 years agoHelpfull: Yes(5) No(2)
• 9*8*7(0)----possibility 1
  8*9*7(2)-------" 2
  8*7*9(2)-------" 3
  8*9*7(4)-------" 4
  8*7*9(4)-------" 5
  8*9*7(6)-------" 6
  8*7*9(6)-------" 7
  8*9*7(8)-------" 8
  8*7*9(8)-------" 9
  total=9*9*8*7=4536
• 11 years agoHelpfull: Yes(3) No(2)
• 9*9*8*7
  1st digit must not be zero.so,1-9
  2nd digit 0-9(but repetion not allowed so 9)
  nd so on
• 11 years agoHelpfull: Yes(2) No(1)
• 2296 is correct
• 11 years agoHelpfull: Yes(1) No(0)
• 9*9*8*7 = 4536
• 11 years agoHelpfull: Yes(1) No(1)
• 1680= 8*7*6*5
• 11 years agoHelpfull: Yes(1) No(1)
• For even numbers the unit digit can be only 0 2 4 6 8
  so, 9*8*7*1(0) = 504
  8*8*7*1(2) = 448
  8*8*7*1(4) = 448
  8*8*7*1(6) = 448
  8*8*7*1(8) = 448
  
  total = 448*4 + 504 = 2296
• 10 years agoHelpfull: Yes(1) No(0)
• 10*9*8*7=5040
• 11 years agoHelpfull: Yes(0) No(0)
• 2240=8*8*7*5
• 11 years agoHelpfull: Yes(0) No(0)
• 1st digit fill with 9 way
  2nd digit fill with 8
  3rd with 7
  4th with 6
  total no.==9*8*7*6=3024 no. ans.
• 10 years agoHelpfull: Yes(0) No(0)
• for a number to be even number it should contain either 0,2,4,6,8 in units place so units place can be filled in 5 ways.
  in thousands place 0 should not be included so 8 ways can be filled in thousands place.
  in hundreds place including 0 8 ways are possibe,in tens place 7 ways are possible total 2240 ways
• 10 years agoHelpfull: Yes(0) No(1)
• let w={0,1,2,3,4,5,6,7,8,9}
  thousandth place has 9 possibilities : w-{0}
  hundredth place has 9 possibilities : w-digit on thousandth place = set u
  tenth place has 8 possibilities : u-digit on hundredth place = set v
  ones place has 7 possibilities : v-digit on tenth place
  Therefor, answer = 9*9*8*7=4536
• 10 years agoHelpfull: Yes(0) No(0)
• _ _ _ _
  1 2 3 4
  In first position 0 cannot be placed . So we can place any number from 1 to 9 in 9ways
  In the remaining 3 places , the remained 9 places can be filled in [(9.8.7)/3.2].3.2 ways ..
  hence answer is 9.9.8.7=4536
• 10 years agoHelpfull: Yes(0) No(0)
• Even Numbers having a single digits are 2 4 6 8.
  so number of four digits without any repetition are 4x3x2x1=24.
• 10 years agoHelpfull: Yes(0) No(0)
• ans:120
  even=0,2,4,6,8
  5*4*3*2=120
• 10 years agoHelpfull: Yes(0) No(0)
• 2296
  if the last place is filled by 2or 4 or 6or 8 then the last place has 4 options first place has 8 options(it can't be 0 and no repeatition allowed therefore one of last digit is left),2nd posion can be filled by 8 digits and 3rd by 7 digits making equal to 1792.Another case if we consider last digit to be filled by 0 then 1st digit has 9 options,2nd position have 8 options and 3rd position has 7 options making equal to 504 and hense the ans 2296
• 10 years agoHelpfull: Yes(0) No(0)
• Total number of N.O with zero not a starting element: 9*9*8*7=4536
  Total number of odd elements staring with no zero: 8*8*7*5=2240
  subtract both->2296 even numbers with zero not as starting element
• 10 years agoHelpfull: Yes(0) No(0)
• Last digit must be filled with (0,2,4,6,8)since even no. And 1st place must not be 0 and (9-1) so 8 can be allowed and in sane way and 3 also 8 ways totally (8*8*8)*(4c1)=2048 i think....
• 10 years agoHelpfull: Yes(0) No(0)
• 2240
  last digit have 5 choices that are 2,4,6,8,0.
  first digit can be any digit except 0,so for first digit we have 8 choices(excluding 0 and digit on last palce).
  rest two digits have 8 and 7 choices as the digits are not repetitive.
• 10 years agoHelpfull: Yes(0) No(0)
• 7*8*9*5=2520
• 10 years agoHelpfull: Yes(0) No(0)
• Probability for no repeated digits : 10*9*8*7=5040
  But if zero comes in first place (i.e thousand's place) it will become a 3 digit number so excluding the probability of its occurrence : 9*8*7=504
  Answer: 5040-504-4536
  
• 10 years agoHelpfull: Yes(0) No(0)
• 1020
  9*8*7*5C1
• 7 years agoHelpfull: Yes(0) No(0)