How many four-digit natural numbers are there such that <strong>ALL</strong> of the digits are even?

Explanation

The even digits are 0, 2, 4, 6, 8 (five digits in total). For a four-digit number, the leading digit cannot be 0, giving 4 possible choices. The remaining three positions can be any of the 5 even digits. Total valid numbers = 4 \times 5 \times 5 \times 5 = 500.

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