To find the number of 3-digit numbers where the sum of the digits equals 8, we can denote the digits as (a), (b), and (c) (where (a) is the hundreds digit, (b) is the tens digit, and (c) is the units digit). The equation we need to solve is (a + b + c = 8) with the constraints (1 \leq a \leq 9) and (0 \leq b, c \leq 9). By changing variables (letting (a' = a - 1)), we can rewrite the equation as (a' + b + c = 7) with (0 \leq a' \leq 8). The number of non-negative integer solutions to this equation can be found using the stars and bars method, yielding a total of (36) valid combinations. Thus, there are 36 three-digit numbers whose digits sum to 8.
There are 15 of them.
There are no 3-digit whole numbers whose digits sum to 3. The smallest 3-digit number is 100, and the largest is 999, but in neither case is the sum of the digits equal to 3.
With 123 digits you can make 123 one-digit numbers.
To find how many 4-digit numbers equal 19, we need to consider all combinations of four digits (ranging from 0 to 9) that add up to 19. However, since the maximum sum of four digits (9 + 9 + 9 + 9) is 36, the possible combinations are limited. There are no valid 4-digit numbers where the sum of the digits equals 19 while ensuring that the first digit is not zero. Therefore, the answer is that there are no valid 4-digit numbers that equal 19.
The numbers from 1 to 39 include both single-digit and double-digit numbers. There are 9 single-digit numbers (1 to 9) and 30 double-digit numbers (10 to 39). Therefore, the total number of digits is 9 (from single-digit numbers) + 60 (from double-digit numbers, as each has 2 digits) = 69 digits in total.
21.
21
There are 15 of them.
002+002+001=005
There are no 3-digit whole numbers whose digits sum to 3. The smallest 3-digit number is 100, and the largest is 999, but in neither case is the sum of the digits equal to 3.
With 123 digits you can make 123 one-digit numbers.
There are 5460 five digit numbers with a digit sum of 22.
To find how many 4-digit numbers equal 19, we need to consider all combinations of four digits (ranging from 0 to 9) that add up to 19. However, since the maximum sum of four digits (9 + 9 + 9 + 9) is 36, the possible combinations are limited. There are no valid 4-digit numbers where the sum of the digits equals 19 while ensuring that the first digit is not zero. Therefore, the answer is that there are no valid 4-digit numbers that equal 19.
The numbers from 1 to 39 include both single-digit and double-digit numbers. There are 9 single-digit numbers (1 to 9) and 30 double-digit numbers (10 to 39). Therefore, the total number of digits is 9 (from single-digit numbers) + 60 (from double-digit numbers, as each has 2 digits) = 69 digits in total.
There are no three-digit numbers that equal 17. In fact, there are no numbers with more or less than two digits that equal 17. In fact, in the whole infinite supply of numbers, there is only one single number that equals 17. That number is . . . . . . . 17 .
27 three digit numbers from the digits 3, 5, 7 including repetitions.
5040 different 4 digit numbers can be formed with the digits 123456789. This is assuming that no digits are repeated with each combination.