Question

A palindrome is a string of characters the reads the same backwards as it does forwards. for example, "mam" is a 3-letter palindrome. how many 6-letter palindromes are there?

Answer 1

If a palindrome is a string of characters the reads the same backward as it does forwards then there are 120 such palindromes after solving through permutations.

Given that a palindrome is a string of characters the reads the same backwards as it does forwards.

We are required to find the number of 6 letter palindromes.

Permutations is basically finding how many ways in which the some numbers or things can be arranged. It is expressed as $nP_{r}$=n!/(n-r)!.

If there are 6 letters then in a palindrome 3 alphabets are used here to form a 6 letter word.

=6$P_{3}$

=6!/(6-3)!

=6*5*4*3!/3!

=120 palindromes.

   

Hence if a palindrome is a string of characters the reads the same backward as it does forwards then there are 120 such palindromes.

Learn more about permutations at brainly.com/question/1216161

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