In how many different ways can the letters in the word

Question

In how many different ways can the letters in the word "LEVEL" be arranged.

allabout · Answer

edited

You've five letters; they can lead to 5! permutaions of whom some are double, namely those in which the  placements  E's and L's are counted twice. To get them out divide 

5!/ 2!*2! = 30

The two 2's represent the ways the two letter can be arranged on theit respective places.

vivek123 · Answer

LEVEL - itself represents 2! * 2! combinations.

So total possible combinations = 5!/(2!*2!) = 30

ps_dahiya · Answer

Total words = 5

Repeat word E (twice) and L (twice)

So = 5!/(2!*2!) = 30

ywilfred · Answer

L - 2
E - 2
V - 1

Total number of ways = 5!/2!2! = 30

sperumba · Answer

Example: To find all permutations on A B C C 
Answer: ABCC, ACBC, ACCB, 
BACC, BCAC, BCCA, 
CABC, CBAC, CBCA, 
CACB, CCAB, CCBA 
There are 12 orders, or 12 permutations in total. 

P( permutation of n objects with n1 identical ones) 

= n!/ n1! 

Example of ABCC: 
n = 4; (A,B,C,C) 
n1= 2; (C,C) 
n!/ n1! = 4! / 2! = (4 x 3 x 2 x 1)/ (2 x 1) = 12

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In how many different ways can the letters in the word

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