0
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
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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
What else can I help you with?
How many 6 digit number can be formed using 3445567?
5040 numbers can be made.
How many digit numbers can be formed from the digit 2 3 5 7 8?
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).
How many 4 digit numbers can be formed by the digits 1 2 3 4 using each digit only once?
24 different numbers.
What is the difference between the largest and the smallest 5 digit numbers formed by the digits 05789 using each digit only once?
The smallest number is 5,789. The largest is 98,750. The difference is 92,961.
How many two digit numbers can be formed with the digits 0123456789 if repetition of digits are not allowed?
To form a two-digit number using the digits 0-9 without repetition, the first digit (the tens place) can be any digit from 1 to 9 (9 options), since a two-digit number cannot start with 0. The second digit (the units place) can then be any of the remaining 9 digits (including 0 but excluding the first digit). Therefore, the total number of two-digit numbers that can be formed is 9 (choices for the first digit) multiplied by 9 (choices for the second digit), resulting in 81 possible two-digit numbers.
How many 6 digit number can be formed using 3445567?
5040 numbers can be made.
How many 2 digit number can be formed using number 0 2 and 3?
Only four numbers:20233032
How many 5 digit number can be formed using the digits 02345when repetition is allowed such that the number formed is divisible by 2 or 5 or both?
There are 2000 such numbers.
How many 6 digit numbers can be formed using the digits 123456789?
There are 60480 numbers.
How many 4 digit numbers can be formed using the digits 1 3 5 7 9?
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.
How many digit numbers can be formed from the digit 2 3 5 7 8?
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).
How many 3 digit numbers can be formed using 12345 with repition?
125
How many 10 digit numbers can be formed using each digit once?
ten factorial = 10! = 3,628,800
What is the number of four digit numbers which can be formed using four of the digits 0 1 2 3 and 4 without repetition?
1
How many six digit numbers can be formed using the digits 0123456789 Example equals 123456 or 098765?
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).
How many 3 digit number can be formed using 0516?
There are eighteen of them.
How many 4 digit numbers can be formed by the digits 1 2 3 4 using each digit only once?
24 different numbers.
