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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?

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

asked
User Joe Fernandez
by
8.5k points

1 Answer

2 votes
A pair "gh" can be placed in the word in 7 ways. The remaining 6 letters can be arranged in
6!=720 ways.

So, answering to question, there are
7\cdot720=5040 ways.
answered
User KenEucker
by
8.2k points
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