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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
(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
