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# If the word “WOW” can be rearranged in exactly 3 ways (WOW,

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If the word “WOW” can be rearranged in exactly 3 ways (WOW, [#permalink]  09 Jun 2018, 22:59
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90% (01:55) correct 10% (03:21) wrong based on 10 sessions
If the word “WOW” can be rearranged in exactly 3 ways (WOW, OWW, WWO), in how many ways can the word “MISSISSIPPI” be rearranged?
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Re: Combinotorics [#permalink]  10 Jun 2018, 01:45
Shrija Roy wrote:
If the word “WOW” can be rearranged in exactly 3 ways (WOW, OWW, WWO), in how many ways can the word
“MISSISSIPPI” be rearranged?

I take this question as fill up the box question, since we don't have any values.

We have all together 11 words and out of which we have S - 4 times, I - 4 times , P - 2 times , M - 1 time

then we can take 11! / 4! * 4! * 2! => 36450.
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Re: Combinotorics [#permalink]  10 Jun 2018, 03:41
Expert's post
In the word Mississippi there are 11 letters.
4 s's 4 i's 2 p's 1 m.

Number of arrangements = $$\frac{11!}{4!4!2!}= 34650$$
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Re: Combinotorics [#permalink]  10 Jun 2018, 04:39
Expert's post
Re: Combinotorics   [#permalink] 10 Jun 2018, 04:39
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