Edit MetaData
9Â years, 5Â months ago
9Â years, 5Â months ago
Take the numbers 1,2,3 => The three digit numbers that are formed are 123, 132, 231, 213, 312 and 321
In these cases, each digit is occurring twice in hundred's place, ten's place and unit's place => So, in hundred's place, ten's place and unit's place, each of these number must be added twice.
=> Formula is (n-1)!*(Sum of the digits)*(11...(n times)..11), where n is the number of digits.
So, for 1,2 and 3 as the 3 digits, the sum is 2*6*111.
For 1,2 and 4 as the 3 digits, the sum is 2*7*111 and so on.
So, the sum of all the numbers is 2*111*(6+7+8+8+9+10+9+10+11+12) = 180*111 = 19980
Detailed syllabus & Topic-wise Weightage
By proceeding you agree to create your account
Free CAT Syllabus PDF will be sent to your email address soon !!!