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  • 02-09-2016
  • Mathematics
Answered

How many different arrangements of the letters in the word SCHOOL are there? .

Verified Answer :

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  • 02-09-2016

Its a permutation with repetition sum.


The formula is : n! / (a! b!)

where a = no. of Os = 2

b = no. of Ds = 2

n = total no. of letters in the word doodle = 6


Working: 6! / (2!
2!)

= 6 x 5 x 4 x 3 x 2 x 1 / 2 x 1 x 2 x 1

= 180 Answer

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