SOLUTION: How many different 5-letter "words" are there which read the same forward as backward? (We use only capital letters and, of course, repeats are allowed.)

Question 427686: How many different 5-letter "words" are there which read the same forward as backward? (We use only capital letters and, of course, repeats are allowed.)
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
How many different 5-letter "words" are there which read the same forward as backward? (We use only capital letters and, of course, repeats are allowed.)
----
1st and 5th letter: 26 ways
2nd and 4th letter: 25 ways
3rd letter: 24 ways
---
Total ways 2*26*2*25*24 = 4*26*25*24 = 62400 "words"
===============
Cheers,
Stan H.
RELATED QUESTIONS
Question: In how many ways we can select 4letters from the letters of MISSISSIPPI? My... (answered by Boreal,ikleyn)

The English alphabet has 26 letters of which 5 are vowels. Consider only 5- letter... (answered by Edwin McCravy)

We want to build 13 letter “words” using only the first n = 9 letters of the... (answered by math_tutor2020)

1. How many strings of 5 lower case English letters are there that have the letter x in... (answered by edjones)

how many different three letter codes are there if only the letters a,b,c,d,e,f are used... (answered by stanbon)

How many positive integers less than 1000 a) have exactly three decimal digits? b) have (answered by Alan3354)

imagine the alphabet only consisted of 7 letters abcdefg. If each letter can be use once. (answered by Edwin McCravy)

How many different words can be made from the letter in SOCCER if only 4 letters are... (answered by Edwin McCravy)

How many different four-letter words can be formed from the letters: a,b,c,d,e,f, and g... (answered by edjones)