Question

The difference between the different permutation of the word BANANA and rank of the word BANANA is

• A. 60
• B. 35
• C. 24
• D. None of these

Answer 1

Answer: (C)

24

BANANA$-B,2N,3A$
$\therefore$number of permutations$=\frac{6!}{2!\times 3!}=60$

Rank of BANANA
Number of words starting with A------ = $\frac{5!}{2!\times 2!}$

Number of words starting with BAA--- =$\frac{3!}{2!}$

Number of words starting with BANA-- =2!
NNext word is BANANA
$\therefore$ rank = 36
$\therefore$ difference $=60-36=24$