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

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(#M40031077) SELF Numerical Ability question Number System Keep an EYE

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

Ayush Rastogi (10 years ago)

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Karan  (10 years ago)

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.
..

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so on,

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