Final answer:
To find the number of 5-digit numbers that can be formed using the digits 0-6 without repetition, we use permutations. The answer is 5,040.
Step-by-step explanation:
To find the number of 5-digit numbers that can be formed using the digits 0, 1, 2, 3, 4, 5, 6 (without repetition), we need to use the concept of permutations.
Since repetition is not allowed, for the first digit, we have 7 choices (0 cannot be the first digit). For the second digit, we have 6 choices (since one digit has been used). For the third digit, we have 5 choices (since two digits have been used), and so on.
Therefore, the number of 5-digit numbers that can be formed is 7 x 6 x 5 x 4 x 3 = 5,040.