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## Comment on

The Fundamental Counting Principle## Question at http://gmatclub

How many 6-digits number are Palindromic numbers? A Palindromic number reads the same forward and backward, example 12121.

A) 100

B) 610

C) 729

D) 900

E) 1000

## I'm not a huge fan of that

I'm not a huge fan of that question because it first starts by talking about 6-digit numbers and then gives an example of a 5-digit number that works. However, my solution appears on that same page.

The basic idea is that, once we have selected the first 3 digits of the number, the last 3 digits automatically follow.

For example, if the first 3 digits are 356---, then (to be a palindrome), the last 3 digits must be ---652, so we get the number 356652.

Likewise, if the first 3 digits are 197---, then (to be a palindrome), the last 3 digits must be ---791, so we get the number 197791.

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