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# How many different distinct ways can the letters in the word

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Current Student
Joined: 29 Jan 2005
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How many different distinct ways can the letters in the word [#permalink]

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07 Oct 2005, 08:18
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How many different distinct ways can the letters in the word MISSION be arranged?
Manager
Joined: 04 May 2005
Posts: 133
Location: Chicago
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Kudos [?]: 9 [0], given: 0

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07 Oct 2005, 08:25
7!/(2!2!). 7 total letters. 2 Is and 2 Ss. Have to divide by the factorial of the number of repeating elements.

OA?
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Christopher Wilson

Current Student
Joined: 29 Jan 2005
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Kudos [?]: 402 [0], given: 0

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07 Oct 2005, 08:29
That`s it Chris.

= 7!/(2! * 2!)
= 5040/4
= 1260

No trick question here, I am just plain math dumb.
Manager
Joined: 04 May 2005
Posts: 133
Location: Chicago
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Kudos [?]: 9 [0], given: 0

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07 Oct 2005, 08:43
Trust me GMATT, I love your questions because they test your very basic knowledge which sometimes goes untested. Most of the questions on this forum are tough, some even tougher than what you expect on the real test, so your questions are a good change of pace and an opportunity of those who are lacking in some areas (like me, with comb/perm) to be able to participate and learn.
Thanks
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Christopher Wilson

Current Student
Joined: 29 Jan 2005
Posts: 5221
Followers: 26

Kudos [?]: 402 [0], given: 0

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07 Oct 2005, 08:52
Thanks Chris, both for the moral boost and your insightful explanations! This half of the club intimidates me so much that I usually avoid it like the plague.
07 Oct 2005, 08:52
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