find the number of ways of aranging 8men and 4 women around a cirular table.in how many of them
1) all the women came together
2) no two women came together
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Numbers of ways such that no two women. sit together is such that to first arrange all the men in a circle and then place the women in places between them
number of ways of arranging 8 men in a circle is (n−1)!=(8−1)!=7!
number of ways of placing 4 women in 8 places between men is
8
P
4
∴ Total numbers of ways=
8
P
4
×7!
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