1.

Let X be a set of 5 elements. The number d of ordered pairs (A,B) of subsets of X such that Anephi,Bnephi,AnnB=phi satisfies

Answer»

`50le dle100`
`101le d le150`
`151le d le200`
`200 LED`

Solution : `""^(5)C_(2)*2!+"^(5)C_(2)((3!)/(1!2!)xx2!)+.^(5)C_(4)[(4!)/(1!3!)xx2!+(4!)/(2!)xx(2!)/(2!)]+.^(5)C_(5)[(5!)/(1!4!)xx2!+(5!)/(2!3!)xx2!]`
`10(2)+10(6)+5(8+6)+(10+20)`
=20+60+70+30=180


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