How many ways can the letters in the word laughter be arranged if the g must be followed by the h?

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03-07-2018
Mathematics

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How many ways can the letters in the word laughter be arranged if the g must be followed by the h?

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konrad509 konrad509 · Answer 1 · 2018-07-03T09:16:54+02:00

konrad509 konrad509

03-07-2018

A pair "gh" can be placed in the word in 7 ways. The remaining 6 letters can be arranged in [tex]6!=720[/tex] ways.

So, answering to question, there are [tex]7\cdot720=5040[/tex] ways.

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