Question

"How many length n strings can be made from a set of {a, b, c, d, e} are
palendromes?"

Answer 1

To create a palindrome string of length n using the set {a, b, c, d, e}, we need to consider two cases: odd length and even length palindromes.

Step-by-step explanation:

A palindrome is a word, phrase, number, or other sequence of characters that reads the same forward and backward. To create a palindrome string of length n using the set {a, b, c, d, e}, we need to consider two cases:

Case 1: n is an odd number. In this case, the middle character can be any of the 5 characters in the set. The remaining characters on both sides of the middle character can be chosen independently from the set. So, the number of odd-length palindromes is 5 * 5^(n/2-1).

Case 2: n is an even number. In this case, there is no middle character, so the characters on both sides need to match each other. The number of even-length palindromes is 5^(n/2).

Adding the results from both cases gives the total number of length n palindromes.