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Let P(x):x2/2=x


Find the following then identify their truth values.


P (1)


P (2)


∀n,P(n)


∃n,P (n)



In a large region, there are 450 farmers. 250 pounds of farm beetroot, 110 pounds of farm yams, 75 pounds of farm radish, 45 pounds of farm beetroot and radish, 40 pounds of farm yams and radish, and 30 pounds of farm beetroot and yams Let B, Y, and R represent the farms that grow beets, yams, and radish, respectively.





Determine the number of farmers that farm beetroot, yams, and radish.





In a large region, there are 450 farmers. 250 pounds of farm beetroot, 110 pounds of farm yams, 75 pounds of farm radish, 45 pounds of farm beetroot and radish, 40 pounds of farm yams and radish, and 30 pounds of farm beetroot and yams Let B, Y, and R represent the farms that grow beets, yams, and radish, respectively.


Determine the number of farmers that farm beetroot, yams, and radish.


In a large region, there are 450 farmers. 250 pounds of farm beetroot, 110 pounds of farm yams, 75 pounds of farm radish, 45 pounds of farm beetroot and radish, 40 pounds of farm yams and radish, and 30 pounds of farm beetroot and yams Let B, Y, and R represent the farms that grow beets, yams, and radish, respectively.


Determine the number of farmers that farm beetroot, yams, and radish.


Prove that the complete disjunctive normal form and complete conjunctive normal form in three variables in a Boolean algebra is equal to the unit and zero element of the Boolean algebra.


List the members of the set


(x l x is an integer such that x < 2)

In a party, there are 12 people with white shirts and 7 people with red shirts;





4 people have black shoes and white shirts;





5 people have black shoes and red shirts;





the total number of people with white or red shirts or black shoes is 21.





How many people have black shoes?

In a party, there are 12 people with white shirts and 7 people with red shirts;






4 people have black shoes and white shirts;






5 people have black shoes and red shirts;






the total number of people with white or red shirts or black shoes is 21.






How many people have black shoes?

there are 450 farmers. 250 pounds of farm beetroot, 110 pounds of farm yams, 75 pounds of farm radish, 45 pounds of farm beetroot and radish, 40 pounds of farm yams and radish, and 30 pounds of farm beetroot and yams Let B, Y, and R represent the farms that grow beets, yams, and radish, respectively.


Determine the number of farmers that farm beetroot, yams, and radish.



Consider a graph where V(G)={1, 2, 3, 4} and E(G)=[{1,2}, (1,2), {1,4}, {2,3}, {3,4}, {3,4}]. How many Hamilton cycles does it have?

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