How many 11-digits number are Palindromic numbers? A Palindromic number reads the same forward and backward, example 12345654321. Choose the correct choice from the following answers
A) 100  B) 610  C) 729  D) 900  E) 900000
Take the task of building palindromes and break it intostages.   Stage 1: Select the 11th digit   We can choose 1, 2, 3, 4, 5, 6, 7, 8, or 9   So, we can complete stage 1 in9ways   Stage 2: Select the 10th 9th,8th, 7th, 6th digit   We can choose 0, 1, 2, 3, 4, 5, 6, 7, 8, or 9   So, we can complete stage 2 in10ways   IMPORTANT: At this point, the remaining digits are alreadylocked in.   Stage 3: Select the , 5th, 4th, 3rd, 2nd, 1st digit   So, we can complete this stage in1way.   By theFundamental Counting Principle(FCP), we can complete all 5 stages (and thus build a 11-digit palindrome) in(9)(10)(10)(10)(10)(10)(1)(1)(1)(1)(1)ways (= 900000 ways)   Answer: 900000
<result>E</result>
How many 11-digits number are Palindromic numbers? A Palindromic number reads the same forward and backward, example 12345654321.