Bunuel wrote:
Official Solution:
How many zeros does 100! end with?
A. 20
B. 24
C. 25
D. 30
E. 32
Trailing zeros in 100!:\(\frac{100}{5}+\frac{100}{5^2}=20+4=24\)
THEORY:
Trailing zeros:
Trailing zeros are a sequence of 0's in the decimal representation of a number, after which no other digits follow.
For example 125,000 has 3 trailing zeros;
The number of trailing zerosn! , the factorial of a non-negative integer\(n\) , can be determined with this
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