24
There are 53 = 125 of them. 111, 112, 113, 114, 115, 121 etc.
this is impossible
-4309278
The biggest 4 digit number that can be made from using the digits of 850236, using a digit at most once, is 8653.
10
There are 55 = 3125 of them.
Oh, what a lovely question! If we have a three-digit code number beginning with a 7, we have 10 options for each digit (0-9). So, we have 10 choices for the first digit, 10 choices for the second digit, and 10 choices for the third digit. Multiplying these together gives us a total of 10 x 10 x 10 = 1,000 possible codes that can be made. Isn't that just delightful?
There are 53 = 125 of them. 111, 112, 113, 114, 115, 121 etc.
24 three digit numbers if repetition of digits is not allowed. 4P3 = 24.If repetition of digits is allowed then we have:For 3 repetitions, 4 three digit numbers.For 2 repetitions, 36 three digit numbers.So we have a total of 64 three digit numbers if repetition of digits is allowed.
this is impossible
-4309278
The biggest 4 digit number that can be made from using the digits of 850236, using a digit at most once, is 8653.
10
2
To form a three-digit number using the digits 0-9, the first digit cannot be 0 (as it would not be a three-digit number). Thus, the first digit can be any of the digits from 1 to 9 (9 options). The second and third digits can each be any digit from 0 to 9 (10 options each). Therefore, the total number of three-digit numbers is (9 \times 10 \times 10 = 900).
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.
-- If the same digit may be repeated, then 64 can be made. -- If the same digit may not be repeated, then 24 can be made.