Table of Contents
- 1 How many 3 digit numbers are there whose sum of the digits are odd?
- 2 What is an odd 3 digit number?
- 3 How many 3 digit numbers are there in which all digits are different?
- 4 Is the smallest 3 digit odd number?
- 5 How many 3-digit numbers are there the sum of whose digits is 9?
- 6 How many three digit numbers are there divisible by 3?
- 7 How many ways can you make a three digit number from three digits?
- 8 How many different digits can the second digit of a number have?
How many 3 digit numbers are there whose sum of the digits are odd?
Detailed Solution ∴ The number of three digit numbers in which all the digits are odd is 125.
What is an odd 3 digit number?
The smallest three-digit number is 100 but it is eve, The smallest 3 digit odd number is 101.
What is the greatest 3 digit odd number?
The greatest three digit number is 999. But it is an odd number. So, greatest 3 digit number is 998.
How many 3 digit odd numbers are there when repetition of digits is allowed?
Hence total possible conditions of an odd 3 digit number under the given conditions with repetition being allowed would be 3.7.
How many 3 digit numbers are there in which all digits are different?
Thus there are 60, 3 digit numbers, with distinct digits, with each of the digits odd.
Is the smallest 3 digit odd number?
Thus the smallest three digit odd number is 101.
How many 3 digits number are there?
900 three
Thus, there are 9 × 10 × 10 = 900 three-digit numbers in all. Therefore there are 900 three-digit numbers in all.
How many 3 digit even numbers are there?
The total 3 digit numbers are 999 including preceding zeroes and there are 999/2 even numbers. so the total three digit even numbers are 499.
How many 3-digit numbers are there the sum of whose digits is 9?
It shows there are 45 three-digit numbers whose digits add to 9. You can try other sums and numbers of digits too.
How many three digit numbers are there divisible by 3?
300
The first three-digit number which is divisible by 3 is 102 . The last three-digit number which is divisible by 3 is 999 . The number of three-digit numbers divisible by 3 are 3999 − 3102 + 1 = 333 − 34 + 1 = 300 .
How many odd digits are there in a three digit number?
The only odd digits are 1,3,5,7,9, all of which are non-zero. The number of ways of forming a three digit number from these digits is 53 = 125, since there are 5 choices for the first digit, 5 for the second, and 5 for the third. In these 125 ways, each digit has the same frequency. The average digit value is 1 5(1 +3 +5 +7 +9) = 5.
What is the average value of one of the three-digit numbers?
The average digit value is 1 5(1 +3 +5 +7 +9) = 5. Each possible three digit number is a linear combination of digits. Hence the average value of one of the three digit numbers is 555.
How many ways can you make a three digit number from three digits?
The only odd digits are #1, 3, 5, 7, 9#, all of which are non-zero. The number of ways of forming a three digit number from these digits is #5^3 = 125#, since there are #5# choices for the first digit, #5# for the second, and #5# for the third. In these #125# ways, each digit has the same frequency.
How many different digits can the second digit of a number have?
We have three digits. Since the number should be odd, the last digit should be one of those numbers $1, 3, 5, 7, 9$. Now the second digits can be one of the digits: $0, 1, 2, 3, 4, 5, 6, 7, 8, 9$ There are 10 different digits for the second digits, but since the digits should be different we cannot place 10 digits, but we can place 9 digits.