Find the highest power of 9 dividing 99! completely

a)12
b)14
c)22
d)24

• Oh sorry i was wrong... i need to find how many threes are present in 99!
  
  so here is the explanation..
  
  [99/3] + [99/3^2] + [99/3^3] + [99/3^4] = 33 + 11 + 3 + 1 = 48
  
  so we have 48 threes and we will get 24 pair of threes .
  
  so pair of 3 means (3*3),(3*3)........till 24 pair of threes
  
  therefore highest power of 9 is 24 .
• 10 years agoHelpfull: Yes(2) No(0)
• Option (a) will be the answer
  
  Reason- [99/9] + [99/9^2] = 11 + 1
  
  = 12
• 10 years agoHelpfull: Yes(1) No(1)
• option d will be the answer.
  
  we need to count the no of 3^2 in 99! .
  this will give ans.
  :)
• 10 years agoHelpfull: Yes(0) No(1)