A palindrome number is the same either read from left to right o | Math Question and Answer

Answer:

$900$

Step by Step Explanation:

We need to find the total number of $5-$ digit palindrome numbers.
$10$ digits $(0, 1, 2, \ldots, 9)$ can be used to fill in the places in the number.
The first digit cannot be zero in order to make it a $5$ digit number.
Therefore, We have $9$ choices for the first place.
For the $2^{ nd }$ and the $3^{ rd }$ place, we have $10$ choices each.
For a $5-$ digit number to be a palindrome number the $1^{ st }$ and the $5^{ th }$ , the $2^{ nd }$ and the $4^{ th }$ digit of the number needs to be the same.
Therefore, the total number of $5$ digit palindrome numbers $= 9 \times 10 \times 10 = 900$
Hence, there are $900$ $\space 5-$ digit palindrome numbers altogether.

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