HOW MANY FOUR DIGIT NUMBERS CAN BE FORMED FROM 1,2,3,4,5,6,7 WHICH IS GREATER THAN 3400?

• 560 four digit numbers can be formed without repetition.
  
  No. of 4 digit numbers where first digit is 4,5,6 or 7.
  ==> 4* 6C3 = 4 * 120 = 480
  
  No. of 4 digit numbers where first digit is 3..
  second place can be filled by 4,5,6,or 7.
  ==>no. of possible numbers = 4* 5C2
  ==> 4 * 20 = 80
  
  
  total no. of possible numbers formed from 1,2,3,4,5,6 and 7
  and greater than 3400 = 480 + 80 = 560
  
• 13 years agoHelpfull: Yes(3) No(4)
• There is no condition that digits can not be repeated.
  
  Number of nos starting with 34 i.e
  34XX = 1*7*7 = 49
  Number of nos starting with 4,5,6,7 = 4*7*7*7
  so total possible FOUR DIGIT NUMBERS that CAN BE FORMED FROM 1,2,3,4,5,6,7 WHICH IS GREATER THAN 3400 = 49+28*49= 49*(1+28) =49*29= 1421
  
  so 1421 numbers
• 13 years agoHelpfull: Yes(3) No(3)
• Four digit Number > 3400=3411 to 3477( using the digit 1 to7)
  Thus No. of digits with the given conditions are 67 numbers
  
• 13 years agoHelpfull: Yes(0) No(5)
• Sanjana, 3512 is also grater than 3400. So check your answer
• 13 years agoHelpfull: Yes(0) No(4)