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How many distinguishable permutations of  the letters BANANA are there

  1. 720    
  2. 120   
  3. 60  
  4. 360
in Combinatory by Active (2.3k points) | 1.5k views

3 Answers

+2 votes
Best answer

Number of permutation of n objects with n1 identical objects of type 1, n2 identical objects of type 2, ......and nk identical objects of type k is $\frac{n!}{n_{1}!n_{2}!....n_{k}!}$

Permutation of letter BANANA are $\frac{6!}{3!2!}= 60$

Option c) is correct

by Boss (16.3k points)
selected by
+1 vote
$\text{Total number of letters in ''BANANA''} = 6$

$\text{Total number of 'A' in the word ''BANANA'' }= 3$

$\text{ Total number of  'N' in the word ''BANANA''}= 2$

$\text{Total distinguishable permutations of the letters ''BANANA'' }=\frac{6!}{3! 2!}=60$
by Boss (41.3k points)
edited by
$\text{For text in latex you may use \text{} option.}$ Also for begin quote `` can be used which will render as $``$.
Thank you..:)
0 votes
(6!)/ (1!).(2!).(3!) =  (720)/ 1.2.6 = 60

so option C
by (303 points)

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