Q. Find the no of zeroes in:
100^1 *99^2 *98^3 *97^4* ........ *1^100. plz explain your ans.....

• 100^1 *99^2 *98^3 *97^4* ........ *1^100 = 100!* 99!* 98!*....*2!*1!
  so no of zeros in 100!= 100/5+100/25= 24
  no of zeros in 99!= 99/5+99/25= 19+3=22
  no of zeros in 98!= 22
  ..
  from 95! to 99!, there will be 22 zeros at the end.total 110 zeros.
  from 90! to 94!, there will be 21 zeros.total 105 zeros.
  ..
  
  .
  
  so on,
  
• 11 years agoHelpfull: Yes(1) No(2)