A number is called a palindrome if it reads the same backward as well as forward. For example 285582 is a six digit palindrome. The number of six digit palindromes, which are divisible by 55 , is ________.

Step-by-step solution

Palindrome Numbers only in this form will be divisible by 55 . Numbers can be between 0 - 9 Number of ways of selecting value of a = P 1 10 Similarly number of ways of choosing value of b = P 1 10 (As a and b can also be same) Therefore, Total number of ways of getting palindrome numbers divisible by 55 is = 1 × 10 × 10 × 1 = 100