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Permutations with a restriction

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Expected value of smallest element of descent set

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If $3$ couples are randomly seated, what is they probability that at least $1$ couple sits together?

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$n$ boys and $n$ girls go out to dance. How many ways so they all dance together (boys must dance with girls)?

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149
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Probability problem involving mappings of a finite set into itself.

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194
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Most probable permutation

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280
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If all permutations of word "FATIMAH" are written in lexicographic order. What would be the 1444th word?

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109
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Permutations approach

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167
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Find the total number of permutations in which letters of the word $ARRANGEMENT$ can be permuted so that two $E$s and two $R$s do not come together.

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80
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Probability in permutation of balls

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The number of positive integral solutions of $abc =$ $30$ is

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588
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Positive definite after row permutation

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99
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Doubt in high school permutations result of identical items

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#combinatorics #elementary-number-theory #permutations
162
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How many ways to divide n numbered bar?

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63
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problem regarding unbiased coin toss

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