Table of Contents
- 1 How many 3 digit numbers are there that are odd?
- 2 How many 3 digit numbers with distinct digits can be formed such that the product of the digits is the cube of a positive integer?
- 3 How many 3 digit numbers have distinct digits such that one digit is the average of the other two?
- 4 How many ways can you make 3 digit odd numbers?
- 5 What is the number of distinct 3 digit even numbers?
- 6 How many 3-digit numbers are there in 5*4*3?
How many 3 digit numbers are there that are odd?
And for the first digits we can place digits in the range 1… 9 but we cannot place the digits that are used in the two other digits and we can place only 7 digits. However the result is not correct, because there are 320 odd three-digits numbers with different digits.
How many 3 digit numbers with distinct digits can be formed such that the product of the digits is the cube of a positive integer?
How many three-digit numbers with distinct digits can be formed such that the product of the digits is the cube of a positive integer? 21.
How many 3 digit numbers have distinct digits such that one digit is the average of the other two?
Hence, The total 3-digit numbers having distinct digits such that one digit is the average of the other two = 40+36+36 = 112 nos.
How many 3-digits numbers with distinct digits are there?
Thus there are 60, 3 digit numbers, with distinct digits, with each of the digits odd.
How many three digit numbers are there in which all the digits are distinct?
How many ways can you make 3 digit odd numbers?
Odd numbers are those natural numbers which end in 1,3,5,7 or 9. Since we have to make 3-digit odd numbers we have hundreds place, tens place and unit place, in which units place will have one of 1,3,5,7,or 9. So, we can fill up the units place in 5 ways.
What is the number of distinct 3 digit even numbers?
For a even 3 digit number, first digit can be filled in 9 ways (1-9), second digit can be 10 ways (0-9) and third digit will be 5 ways (0,2,4,6,8). Since the question is for DISTINCT 3 digit even numbers, the answer can’t be 450 obviously. So below is the answer….. Eg. 124 is distinct 3 digit even number.
How many 3-digit numbers are there in 5*4*3?
The units digit will then be 1 of [1, 3, 5, 7, 9] = 3 choices, since 1 digit already used for the hundreds digit, and 1 digit already used for the tens digit. 5 * 4 * 3 = 60 such 3-digit numbers.
What is the total number of odd numbers ending with 1?
So, the number of digits ending with 1 without repetition will be 8x 8 = 64. Similar is the case for digits ending with 3,5,7 & 9. Hence, total number of such odd digits will be 5 x 64 = 320.