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Five men and five women are to be arranged in a row while seating in a party. Quantity I: Number of ways of arranging 5 men and 5 women such that on two men or women are adjacent to each other. Quantity II: Number of ways of arranging 5 men and 5 woment such that all men sit together.A. Quantity I `gt` Quantity IIB. Quantity I `lt` Quantity IIC. Quantity I `ge` Quantity IID. Quantity I `le` Quantity II |
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Answer» Correct Answer - B Here, For quantity I `to` First the different no. of was to arrange 5 men or 5 woment `=5!` Now, `"_M_M_M_M_M"` No. of ways of arranging 5 men and 5 women such that no two woment or men sit together `=2xx5!xx5!` For quantity II`to` No. of ways of arranging 5 men and 5 women such that all men sit together `to6!xx5!` `because2xx5!xx5!lt6!xx5!` So, Quantity `Ilt` Quantity II |
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