How many non negative integers less than 10000 are there such that the sum of the digits of the number is divisible by 3?

The answer is 3,439.

How many numbers below 10000 exist such that the sum of the digits of the number is 5?

Basically this arrangements will give us all numbers less than 10,000 in which sum of the digits (sum of 5 d’s=5) equals 5. Hence the answer is . Answer: C (56).

How many positive integers less than 1000 have the sum of their digits equal to 19?

Answer: I think correct answer is 28.

How many integers between 1 and 1000000 have the sum of their digits equal to 18?

25927
Hence, the number of integers between 1 and 1000000 having the sum of the digits equals to 18 is 25927 which is option (b).

How many positive integers less than 10000 are there in which the sum of the digits equals 5 A 31 B 51 C 56 D 62 E 93?

Total of 56 such integers.

What is the total number of natural numbers which are smaller than 10000 and have their all the digits different?

We observe that we can place any one of the 8 digits at units, tens and hundreds place (Repetition allowed). However, 0 can’t be placed at thousands place. So, we can have any one of the 7 numbers at the thousands place. Hence, there are 4096 numbers less than 10000 which can be formed from the given digits.

How many numbers less than 10000 have an even number of factors?

Answer: The number 10000 has 23 factor not counting 1 or itself makeing it a square and maybe composite.

How many positive odd integers less than 10000 can be written using the digits 3 4 6 8 and 0 if repeating the digits are allowed?

Recall that Fundamental counting principle states that if there are m ways to make a selection and n ways to make a second selection then there are m×n number of ways in which two selection can be made. Thus, number of positive odd integers less than 10,000 with digits 3, 4, 6, 8 and 0 are 125 .

How many positive integers less than 10,000 are there in which the sum of the digits equals 5 A 31 B 51 C 56 D 62 E 93?

How many positive odd integers less than 10,000 can be written using the digits 3 4 6 8 and 0 if repeating the digits are allowed?

How many integers between 1 and 999999 have the sum of their digits equal to 15?

How many numbers in the range 1 to 1000000 have a sum of digits of 15? There are 13992 numbers with a sum of digits of 15 in the given range.

How many positive integers less than 1 000 have digit sum 19?

Equation 2 is an equation in the non-negative integers. Consequently, the number of solutions of equation 1 in which a > 9 is solutions for each of the six variables that could exceed 9. Hence, the number of positive integers less than 1, 000, 000 with digit sum 19 is Note – 1,000,000 has sum of digit = 1.

How do you find the number of non-negative integers?

Since a is an integer, then a ≥ 10. Hence, a ′ = a − 10 is a non-negative integer. Substituting a ′ + 10 for a in equation 1 yields Equation 2 is an equation in the non-negative integers. Consequently, the number of solutions of equation 1 in which a > 9 is solutions for each of the six variables that could exceed 9.

Is a ′ = a – 10 a non negative integer?

We count the number of solutions in which a > 9. Since a is an integer, then a ≥ 10. Hence, a ′ = a − 10 is a non-negative integer. Substituting a ′ + 10 for a in equation 1 yields

How many integers have a hundreds digit at least 5 5?

From part (iv), we have that there are 10 10 possibilities in the case that the hundreds digit is at least 5 5. By symmetry, there are also 10 10 numbers when the tens digit is at least 5 5, and another 10 10 when the units digit is at least 5 5. These sets are disjoint (have no elements in common), so there are 30 30 such integers altogether.