Question

Three letters are chosen from the letters of the word $ASSASSIN$ and arranged to form a three letter word, then the number of palindromes formed is

• A. $43$
• B. $36$
• C. $7$
• D. $6$

Answer 1

Answer: (C)

$7$

Consider the letters $AASSSSIN$. The three letter palindromes are possible only with starting letter $A$ and $S$.
Consider the palindromes starting with $A$
$A-A$
The middle letters can be $S,I,N$.
Hence there will be $3$ palindromes starting with $A$.
Consider the palindromes starting with $S$
$S-S$
The middle letters can be $S,A,I,N$.
Hence there will be $4$ palindromes starting with $S$.
Therefore in total there will be $7$ three lettered palindromes.