**A palindrome number is a number that is read similarly backwards. How many possible 5-digit palindromic numbers are there? A. 608 B. 648 C. 688 D. 728**

The **Answer to the Question**

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**Here's the Solution to this Question**

$\text{let }x_1,x_2,x_3,x_4,x_5 \text { digit palindrome }$,

$x_1=x_2,x_2=x_4,x_3 =x_3\, \text{equality defined when reading palindrome in reverse}$

$\text {that is, the palindrome is uniquely determined by the choice of numbers }x_1,x_2,x_3$ ;

$x_1 \text{ can be selected from 9 digits,}$

$\text{0 is excluded because the palindrome is five digits}$ ,

$x_2,x_3 \text{ can be selected from 10 digits}$ ,

$\text{the number of combinations will be }9*10*10=900$ ,

$\text{the number of 5 digit palindromes are }\,900$ ,

$\text {all the suggested answer options are not correct.}$

Answer: 900 the number of 5 digit palindromes, all the suggested answer options are not correct