If $P$ is the product of all the even numbers between $1$ and positive integer $n,$ how many trailing zeros does

If $P$ is the product of all the even numbers between $1$ and positive integer $n,$ how many trailing zeros does $P$ have? (The number of trailing zeros of an integer is the number of zeros at its end. For example, $360$ has $1$ trailing zero.)

(1) $n^2 < 100$
(2) The product of all the integer numbers from $1$ to $n^2$ has $6$ trailing zeros.

Answer: D

Source: Economist

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