There are 30,240 different 5-digit numbers. Math: 10*9*8*7*6 1st digit has 10 possible choices (0-9) 2nd digit has 9 possible choices (one of the digits was used in the 1st digit) 3rd digit has 8 possible choices 4th digit has 7 possible choices 5th digit has 6 possible choices
If the identifying information on each license plate consists of (letter-1)(letter-2)(digit-1)(digit-2)(digit-3)(digit-4), and repetition is allowed: letter-1 has 26 choices, and for each one ... letter-2 has 26 choices, and for each one ... digit-1 has 10 choices, and for each one ... digit-2 has 10 choices, and for each one ... digit-3 has 10 choices, and for each one ... digit-4 has 10 choices. Total number of choices = 262 x 104 = ( 26 x 26 x 10 x 10 x 10 x 10 ) = 676 x 10,000 = 6,760,000
Assuming a 5 digit number cannot start with 0, ie it must be at least 10,000, then there are 96 possible numbers: there are 4 choices for the first digit, leaving a choice of 4 for the second digit for each of the choices for the first digit, leaving a choice of 3 for the third digit for each of the choices for the first two digits, leaving a choice of 2 for the fourth digit for each of the choices for the first three digits, leaving a choice of 1 for the fifth (and final) digit for each of the choices for the first four digits, Making a total number of choices 4 x 4 x 3 x 2 x 1 = 96
You have 5 choices for the 1st digit of the number. 4 choices for the 2nd digit and 3 choices for the 3rd and final digit. This means that there are 5 x 4 x 3 = 60 3-digit numbers that can be made from 5 different digits subject to each digit only being used once.
When two one-digit positive integers are multiplied, there are a total of 81 different products possible. This is because there are 9 possible choices for the first digit (1-9) and 9 possible choices for the second digit (1-9), resulting in 9 x 9 = 81 possible combinations.
There are 30,240 different 5-digit numbers. Math: 10*9*8*7*6 1st digit has 10 possible choices (0-9) 2nd digit has 9 possible choices (one of the digits was used in the 1st digit) 3rd digit has 8 possible choices 4th digit has 7 possible choices 5th digit has 6 possible choices
The last digit is insignificant figure or uncertain .
16. You have two choices for the first digit (2 or 3). With each of them you have 2 choices for the second digit. For each 2-digit number so far you have two choices for the third digit and, finally, for each of these there are 2 choices for the 4th digit. All in all, 2*2*2*2 = 16 choices.
Let's solve it a step at a time. For the first digit, how many choices do you have? 9 You can choose 1..9 but not 0, so that's nine choices for the most significant digit. For the second digit, how many choices do you have? 10 It can be 0..9. For the third digit, you also have 10 choices. Choosing one digit doesn't limit your choices for other digits and mirrored numbers (e.g. 123 and 321) are different, so all choices make a unique number. So the total is the product of our three choices: 9x10x10
There are 9 choices for the first digit (1,2,3,4,5,6,7,8,9) No zero because numbers don't start with zeroes. 10 choices for the second digit (0,1,2,3,4,5,6,7,8,9). 10 choices for the third digit (0,1,2,3,4,5,6,7,8,9) Okay now 9x10x10=900. Answer:900
9000. The first digit can be any one of 1-9 (9 choices). The second digit can be any one of 0-9 (10 choices). The third digit can be any one of 0-9 (10 choices). The fourth digit can be any one of 0-9 (10 choices). So, in all, 9*10*10*10 = 9000
These numbers are selections from the numbers from 100 to 999. That's 9 choices for the first digit. Each time, the second digit has 9 choices (0 to 9 excluding the hundreds digit), and then the last digit has 8 choices. Total is then 9x9x8 = 648
If the digits may be repeated, there are four choices for the first digit, four choices for the second, and four choices for the third. Thus there are 4x4x4 = 64 possible three-digit numbers with those digits. If the digits may not be repeated, there are still four choices for the first digit, but then only three remaining choices for the second, and then just two choices for the third. In this case there are only 4x3x2 = 24 possibilities.
If the identifying information on each license plate consists of (letter-1)(letter-2)(digit-1)(digit-2)(digit-3)(digit-4), and repetition is allowed: letter-1 has 26 choices, and for each one ... letter-2 has 26 choices, and for each one ... digit-1 has 10 choices, and for each one ... digit-2 has 10 choices, and for each one ... digit-3 has 10 choices, and for each one ... digit-4 has 10 choices. Total number of choices = 262 x 104 = ( 26 x 26 x 10 x 10 x 10 x 10 ) = 676 x 10,000 = 6,760,000
If this is a homework assignment, please consider trying it yourself first, otherwise the value of the reinforcement to the lesson offered by the homework will be lost on you.There are 60 possibilities that can be made for a three digit number using the numbers 2 4 6 8 and 9. (5 choices for the first digit, 4 choices for the second digit, and 3 choices for the third digit - multiply 5, 4, and 3, and you get 60.)To determine how many of these three digit numbers are smaller than 500, consider that, given 2 4 6 8 and 9, the first digit would have to be 2 or 4. That gives 2 choices for the first digit, 4 choices for the second digit, and 3 choices for the third digit. Multiply 2, 4, and 3, and you get 24.
Assuming a 5 digit number cannot start with 0, ie it must be at least 10,000, then there are 96 possible numbers: there are 4 choices for the first digit, leaving a choice of 4 for the second digit for each of the choices for the first digit, leaving a choice of 3 for the third digit for each of the choices for the first two digits, leaving a choice of 2 for the fourth digit for each of the choices for the first three digits, leaving a choice of 1 for the fifth (and final) digit for each of the choices for the first four digits, Making a total number of choices 4 x 4 x 3 x 2 x 1 = 96
Digit 1 = 10 choices (0,1,2,3,4,5,6,7,8,9) Digit 2 = 10 choices (0,1,2,3,4,5,6,7,8,9) Digit 3 = 10 choices (0,1,2,3,4,5,6,7,8,9) Digit 4 = 10 choices (0,1,2,3,4,5,6,7,8,9) Number of combinations = 10 x 10 x 10 x 10 = 104 =10000