How many different four-digit numbers have the same
digits as 1993?
To find the number of different four-digit numbers that have the same digits as 1993, we need to consider a few things.
1993 is a four-digit number with digits 1, 9, 9, and 3. So, we have to determine how many unique permutations can be made using these digits.
To do that, we use basic principles of counting.
First, we know that there are four positions to fill in the four-digit number.
For the first position, we have four choices (1, 9, 9, or 3).
For the second position, we have three choices because we cannot reuse the digit used in the first position.
Similarly, for the third position, we have two choices, and for the fourth position, we have only one choice left.
To find the total number of ways to arrange these digits, we multiply the number of choices at each position: 4 x 3 x 2 x 1 = 24.
Therefore, there are 24 different four-digit numbers that can be formed using the same digits as 1993.