how many integers between 456 and 654 have no digits other than 4,5,6.

a) 15
b)17
c)14
d)12

• first we consider when 4 is on hundreth position(456,465,466) so here 3 ways
  now,when 5 is on hundreth position,tenth position is filled by 3 ways(4,5,6) & unit position is also filled by 3 ways(4,5,6), so total 3*3=9ways
  when 6 is on hundreth position (644,645,646,654)
  so,total integer=3+9+4=15
  ans is 15
  
  
  
• 11 years agoHelpfull: Yes(29) No(5)
• I think its 15.
  
  For every 2nd digit (4 or 5 or 6) we have 3 options for 3rd digit.
  (464,465,466)
  (544,545,546)(554,555,556)(564,565,566)
  (644,645,646)
• 11 years agoHelpfull: Yes(13) No(0)
• 17 will be the answer
  
• 11 years agoHelpfull: Yes(7) No(2)
• 6 is not the option....
  correct ans is 15, bt dnt know how it came
  
• 11 years agoHelpfull: Yes(5) No(0)
• if we put 4 at hundred position then(455,456,465,466) 4 ways
  if we put 5 as hundred then tenth position (2,3,4) 3 ways and unit is also 3 ways
  so total 3*3 ways
  if we put 6 as hundred then
  (644,646,654,655) 4 ways
  hence answer is
  4+9+4=17
  ans=17
• 11 years agoHelpfull: Yes(2) No(2)
• 4 at hundreth position:tens pos by 5/6(1 way), unit pos by 6 only = 1*2*1 = 2 ways
  5 at hundreth pos: tens pos by 4/5/6(3ways) and unit by 3 ways =9 ways
  6th at hundreth: tens by 5/4 (2 ways), unit by 4/6(2 ways) =4 ways
  total integers possible = 2+9+4 = 15 ans
• 11 years agoHelpfull: Yes(1) No(0)
• integers with no digits other than 4,5,6 are just the various arrangements of 456
  = 3!
  =6(Ans)
• 11 years agoHelpfull: Yes(0) No(12)
• 15
  4_ _ 3 ways
  5_ _ 3*3=9 ways
  6_ _ 3 ways
  so total 15 ways
• 11 years agoHelpfull: Yes(0) No(2)
• 3*3*3-5(for 1st 5 combination those r not taken)-5(for last 5 combination those r not taken)=17 (b) ans:
• 11 years agoHelpfull: Yes(0) No(1)
• total =17
  those are 456,464,465,466,544,545,546,554,555,556,564,565,566,644,645,646,654(if 456 and 654 included)
  otherwise 15.
• 9 years agoHelpfull: Yes(0) No(0)