Simplify the expression 2[13-1)^2/2]
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There are 90 4-digit palindromes
<h3>What are palindromes?</h3>Palindromes are numbers whose reverse is the same as the original number
<h3>How to determine the count of 4-digit palindromes</h3>Since the digit is 4, then
- The first digit of the palindrome can be any of 1 to 9 (i.e. 9 digits)
- The second digit can be any of 0 - 9 (i.e. 10 digits)
- The third digit must be the second digit (i.e. 1 digit)
- The last digit must be the first digit (i.e. 1 digit)
So, the total number of digits is:
Evaluate the product
Hence, there are 90 4-digit palindromes.
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