24
24 (You said "arrange" rather than "use," so I assume you want to use each digit only once).There are 4 choices for the first digit. Once you choose it, you have 3 choices left for the second digit. Likewise, you have 2 choices for the third digit and only one choice for the 4th digit.Thus, you have 4 x 3 x 2 x 1 = 24 ways of making a 4 digit number with these digits.
Assuming no repeats and possible can start with the zero: First digit can be one of 5, second digit can be one of 4 etc, so there a re 5 x 4 x 3 x 2 possibles ie 120
24 = 4*3*2*1
To determine how many digit numbers can be formed using the digits 2, 3, 5, 7, and 8, we need to consider the number of digits in the numbers we are forming. For a 1-digit number, we can use any of the 5 digits. For a 2-digit number, we can choose 2 out of the 5 digits and arrange them, giving us (5 \times 4) combinations. We can continue this for 3-digit, 4-digit, and 5-digit numbers, which will yield (5), (20), (60), and (120) respectively. Therefore, the total number of digit numbers is (5 + 20 + 60 + 120 = 205).
There are 17 such numbers.
4! = 4 * 3 * 2 * 1 = 24 ways[1]
24 (You said "arrange" rather than "use," so I assume you want to use each digit only once).There are 4 choices for the first digit. Once you choose it, you have 3 choices left for the second digit. Likewise, you have 2 choices for the third digit and only one choice for the 4th digit.Thus, you have 4 x 3 x 2 x 1 = 24 ways of making a 4 digit number with these digits.
Assuming no repeats and possible can start with the zero: First digit can be one of 5, second digit can be one of 4 etc, so there a re 5 x 4 x 3 x 2 possibles ie 120
24 = 4*3*2*1
There are 17 such numbers.
30
A Thousand digit number will have 999 zeros
There are 5 numbers which can make the 3 digit numbers in this example. Therefore each digit in the 3 digit number has 5 choices of which number can be placed there. Therefore number of 3 digit numbers = 5 x 5 x 5 = 125
120
A palindromic number can have as few as one digit, and as many as infinity. The smallest palindromic number is zero and the largest is '999... to infinity'.
Six of them.
10 000 if you can start with zero.