Home
Class 12
MATHS
Find the number of three-digit number in...

Find the number of three-digit number in which repetition is allowed and sum of digits is even.

Text Solution

Verified by Experts

The correct Answer is:
450

Case I : All the digits are even
Number of numbers `=4xx5xx5=100`
Case II : One digit is even and two digits are odd
If fist digit is even then number of numbers `=5xx5xx5=125`
If third digit is even then number of numbers `=5xx5xx5=125`
So, total number of numbers `=100+100+125+125=450`
Promotional Banner

Similar Questions

Explore conceptually related problems

Find the sum of all three-digit natural numbers, which are divisible by 7.

Find the number of n digit numbers, which contain the digits 2 and 7, but not the digits 0, 1, 8, 9.

The number of three-digit numbers having only two consecutive digits identical is

find the number of positive number with three digits divisible dy 5 such that the digits in each number in each number are different

Find the number of three-digit numbers from 100 to 999 including all numbers which have any one digit that is the average of the other two.

The number of n digit numbers which consists of the digit 1 and 2 only if each digit is to be used atleast once is equal to 510, then n is equal to ________.

The total number of 9 digit numbers which have all different digit is

Find the total number of n -digit number (n >1) having property that no two consecutive digits are same.

Find the sum of the three-digited natural numbers which leave a remainder 2, when divided by 3.

How many seven-digit numbers are there, the sum of whose digit is even?