Question

Number of palindrome words formed by taking $2$ or more letters from the word 'RESONANCE' (palindrome words are those which read same forward and backward)

• A. $87$
• B. $57$
• C. $84$
• D. $28$

Answer 1

The correct option is D $28$

palindromes

a word, phrase, or sequence that reads the same backwards as forwards

so we have 2 E's and 2N's only so we can make only 5 letter word from the given

2 letter ${}^2{\text{C}}_1=2$

3 letter ${}^2{\text{C}}_1\times 6=12$(as we can put 6 letters in between the two)

4 letter only 2 word i.e.ENNE,NEEN

5 letter ${}^2{\text{C}}_1\times 6=12$(as first letter will be E or N and second will be respectively)

Answer=28