Question

If all the permutations of the alphabets of the word ‘REBEL’ are arranged as per the dictionary, the find the fiftieth word.

• A. REBEL
• B. LRBEE
• C. REEBL
• D. RBELE

Answer 1

The correct option is D RBELE

If all the alphabets are arranged as per dictionary, then the first word will start from B. Total words starting from $B=\frac{4!}{2!}=12$
Now, the 13th word will start from E.
Total no. of words starting with E = 4! = 24
Now, the 37th word (12+24=36) will start with L.
Total no. of words starting with L = 4!/2! = 12
With this, 48 words has been completed.
49th word will be RBEEL
And thus the 50th word will be RBELE.