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In how many different ways the letters of the word 'TRANSFORMER' can be arranged such that 'N' and 'S' always come together?

In how many different ways the letters of the word 'TRANSFORMER' can be arranged such that 'N' and 'S' always come together? Correct Answer 1209600

Given word is TRANSFORMER.

Number of letters in the given word = 11 (3 R's)

 

Required, number of ways the letters of the word 'TRANSFORMER' can be arranged such that 'N' and 'S' always come together is

10! x 2!/3!

= 3628800 x 2/6

= 1209600

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