Solution:
A two-digit number has 2 digits, one at the units place and one at the tens place.
Let's form the two-digit numbers using the digits 3, 7, and 9 if the repetition of the digit is allowed.
Below are all the numbers formed using the digits 3, 7, 9 with 3 at tens place:
33, 37, 39
Below are all the numbers formed using the digits 3, 7, 9 with 7 at tens place:
73, 77, 79
Below are all the numbers formed using the digits 3, 7, 9 with 9 at tens place:
93, 97, 99
Therefore, the two-digit numbers formed by using the digits 3, 7, and 9 are 33, 37, 39, 73, 77, 79, 93, 97, and 99.
Summary:
All possible two-digit numbers formed by using the digits 3, 7, and 9 if repetition of the digit is allowed are 33, 37, 39, 73, 77, 79, 93, 97, and 99.
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