Answer to Question #346891 in Statistics and Probability for Lowkey

Question

How many two-digits numbers can be made from the digits 6,7 and 8 if repetition of the digits is allowed

Answer 1

The first digit can be selected in 3 ways: 6, 7, or 8. Since repetition of the digits is allowed, for each of these possibilities, the second digit can also be selected in 3 ways. In total we have $3\cdot 3=9$ ways. Therefore, exactly 9 numbers can be made from the digits 6, 7 and 8 if repetition of the digits is allowed.