The number of 6 digit even numbers that can be made from the number 214635 are..
a,360
b,120
c,72
d,18

• a) 360
  
  The digits in 214635 are 1,2,3,4,5,6
  
  For an even number, the last digit must be an even number.
  
  Starting from 6th digit,
  6th digit can have 2,4 or 6 => 3 numbers
  5th digit can have any of remaining numbers => 5 numbers possible
  4th digit can have the any of the remaining numbers => 4 numbers possible
  3rd digit => 3 numbers possible
  2nd digit => 2 numbers possible
  1st digit => 1 number possible
  
  Therefore, 3*5*4*3*2*1 = 360 numbers possible
  
  
• 10 years agoHelpfull: Yes(54) No(1)
• R u kidding??? this can't be Elitmus question... This is not even AMCAT level question
• 9 years agoHelpfull: Yes(11) No(1)
• A. 360
  BECAUSE EVEN NO FORMED BY USING 2,4,6
• 10 years agoHelpfull: Yes(3) No(0)
• Ans. a) 360
  for 6 digit even number...
  in unit place always 2,4,6 will come..rest of place we can fill any given number, so
  solution will be - 5*4*3*2*1*3 = 360.
• 10 years agoHelpfull: Yes(3) No(1)
• last digit must be even......so
  1*2*3*4*5*3=360
  
  
• 10 years agoHelpfull: Yes(2) No(1)
• 1 x 2 x 3 x 4 x 5 x 3 = 360
• 9 years agoHelpfull: Yes(1) No(0)
• option a 360
  for unit place 3 digits i.e 2,4,6
  for tenth place 5 digit.....
  for next place 4 digit
  3 digit
  2 digit
  1 digit
  
  so total numbers=3*5*4*3*2*1=360
• 9 years agoHelpfull: Yes(1) No(0)
• for even
  at the end of the no. we can place only 2,4 and 6.
  in case of 2
  we have total 6 nos in which we have to fix 2 at the end place or unit place
  remaining nos can be arranged in 5! way
  similarly in case of 4 and 6.
  then 5!=120.
  we have 3 case
  hence 120*3=360.
  a) 360 is the right answer
• 9 years agoHelpfull: Yes(1) No(0)
• 6!/6 = 120
• 10 years agoHelpfull: Yes(0) No(5)
• 5x4x3x2x1x3=360
• 9 years agoHelpfull: Yes(0) No(0)
• 360.is the ans
• 9 years agoHelpfull: Yes(0) No(0)
• 5*4*3*2*1*3 ways
  which is 360.
• 9 years agoHelpfull: Yes(0) No(0)
• 360
  because Unit place can be fill with three digit it may be 2 4 or 6
  renaiming place can be fill 5*4*3*2*1 ways
• 9 years agoHelpfull: Yes(0) No(0)
• 360
  a number is even if its last digit end with with (0,2,4,6,8).in this case last digit should be 2,4or 6.by using principle of counting first digit can be filled by 5 no. now second by 4 and it goes like that
  i.e 5*4*3*2*1*3=360
  
• 9 years agoHelpfull: Yes(0) No(0)
• very easy there is six palce ---- ---- ---- ---- ---- ----
  so last digit can fill with 2,4,or 6 so last digit is 3 ways
  so one place is fill now first place can fill 5 ways and then 4 ,3,2,1
  so ans is 5 *4*3*2*1*3 =360
• 8 years agoHelpfull: Yes(0) No(0)
• 360
  2*4*6*3*5
• 6 years agoHelpfull: Yes(0) No(0)
• 360
  2*4*5*6
• 6 years agoHelpfull: Yes(0) No(0)
• 5*4*3*2*3=360
• 6 years agoHelpfull: Yes(0) No(0)
• a) 360
  for the no to be even the 6th digit can be either 2,4 or 6 out of all the digits so 5*4*3*2*1*3=360
• 5 years agoHelpfull: Yes(0) No(0)
• option a
  fix unit place with an even number and arrange the other places with remaining digits.
  so three cases are possible.hence 5!*3
• 3 years agoHelpfull: Yes(0) No(0)
• 3*5*4*3*2*1=360
• 3 years agoHelpfull: Yes(0) No(0)