Mathematics
Answer
For the smallest 7-digit number using exactly four different digits, the digit at the highest place (ten lakhs) cannot be 0. So, the smallest non-zero digit (1) is placed at the highest place.
Then use 0 in as many remaining positions as possible. To make exactly four different digits in total, we need two more digits apart from 1 and 0. The smallest such digits are 2 and 3.
The digits to be used: 1, 0, 0, 0, 0, 2, 3.
Arranging the digits with 1 at the highest place and the rest in ascending order:
Ten lakhs place: 1
Lakhs place: 0
Ten thousands place: 0
Thousands place: 0
Hundreds place: 0
Tens place: 2
Ones place: 3
Hence, the smallest 7-digit number using four different digits is 10,00,023.
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