Write all possible natural numbers using the digits 7, 0, 6. Repetition of digits is not allowed.

We are required to write all possible natural numbers using the digits 7, 0 and 6, where repetition of digits is not allowed.

1-digit natural numbers: 6, 7. (0 is not a natural number.)

2-digit numbers: The digit 0 cannot be at the ten's place.

Keeping 6 at ten's place: 60, 67.

Keeping 7 at ten's place: 70, 76.

2-digit numbers: 60, 67, 70, 76.

3-digit numbers: The digit 0 cannot be at the hundred's place.

Keeping 6 at hundred's place: 607, 670.

Keeping 7 at hundred's place: 706, 760.

3-digit numbers: 607, 670, 706, 760.

Hence, all possible natural numbers are: 6, 7, 60, 67, 70, 76, 607, 670, 706 and 760.