Consider the word MALAYALAM Whichever way you read it from left to right or from right to left you g...........

Quantitative Aptitude ( CCS) Permutation & Combination

Consider the word MALAYALAM. Whichever way you read it, from left to right or from right to left, you get the same word. Such a word is known as palindrome. Find the maximum possible number of 7-letter palindromes.

26!×7

26!×4

26⁷

26⁴

छोटे Courses बड़े Results

Master Permutation & Combination

Prepare through Micro-courses

Try Now

Explanation:

The first letter from the right can be chosen in 26 ways because there are 26 alphabets.
Having chosen this, the second letter can be chosen in 26 ways.
=> The first two letters can be chosen in 26×26 ways
Having chosen the first two letters, the third letter can be chosen in 26 ways.
=> The first three letters can be chosen in 26×26×26 ways.
Having chosen the first three letters, the fourth letter can be chosen in 26 ways.
=> All the four letters can be chosen in (26×26×26×26)=26⁴ways. It implies that the maximum possible number of seven letter palindromes is because the fifth is same as the third letter; the sixth letter is the same as the second letter and seventh is same as the first letter.