Mathematics
Answer
The even digits are 0, 2, 4, 6 and 8 (five different digits).
To form a 7-digit number using all five even digits (each at least once), we need two extra positions, which can be filled by repeating any of the even digits.
The digit at the highest place (ten lakhs) cannot be 0. So, place the smallest non-zero even digit (2) at the highest place.
To make the number smallest, fill as many of the remaining positions as possible with 0 (smallest digit).
Total seven digits: 2, 0, 0, 0, 4, 6, 8 — uses all five even digits (0, 2, 4, 6, 8).
Arranging with 2 at the highest place and the rest in ascending order:
Smallest 7-digit number = 20,00,468.
Hence, the smallest 7-digit number using all the even digits is 20,00,468.
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