There are ten digits 0-9 that you can choose from. 10P4 = is the number of ways to order these ten digits into four digit numbers.
However, 0 cannot begin the number or else it is a 3 digit number (0341 is a three digit number). So, we must subtract from 5040 the number of 3 digit numbers which do not contain 0. There are 1-9 digits to choose from. 9P3 = 504 is the number of ways to order these nine digits into three digit numbers.
5040 - 504 = 4536
______________________________________________
Another way to arrive at the same result:
You have 9 choices for the first number (1,2,3,...,9). Once you choose the first number you have 9 numbers to choose from for each of the remaining three numbers: (0,1,2,3,...9) but excluding the number you chose for the first number. So you have (9P3) ways to choose the final three digits.
Thus, you have a total of 9*(9P3) ways to form your four digit number:
9*(9P3)=9*9*8*7=4536
5040 numbers can be made.
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).
24 different numbers.
The smallest number is 5,789. The largest is 98,750. The difference is 92,961.
27
5040 numbers can be made.
Only four numbers:20233032
There are 2000 such numbers.
There are 60480 numbers.
To calculate the number of 4-digit numbers that can be formed using the digits 1, 3, 5, 7, and 9 without repetition, we use the permutation formula. Since there are 5 choices for the first digit, 4 choices for the second digit (as one digit has been used), 3 choices for the third digit, and 2 choices for the fourth digit, the total number of 4-digit numbers that can be formed is 5 x 4 x 3 x 2 = 120.
125
ten factorial = 10! = 3,628,800
1
The number of six digit numbers that you can make from ten different digits ifrepetitions of same digit on the six digit number is allowed is 1 000 000 numbers(including number 000 000).If no repetitions of the the same digit are allowed then you have:10P6 = 10!/(10-6)! = 151 200 different six digit numbers(six digit permutations form 10 different digits).
There are eighteen of them.
24 different numbers.
The smallest number is 5,789. The largest is 98,750. The difference is 92,961.