Question: 1.)Are there any Boolean algebras having three elements?Why or why not? 2.)Is the following a tree and if so, what is the root.Please explain: A

1.)Are there any Boolean algebras having three elements?Why or why not?

2.)Is the following a tree and if so, what is the root.Please explain:

A = {a,b,c,d,e}

R = {(a,d),(b,c),(c,a),(d,e)}

3.)The annual NCAA Basketball Tournament begins with 64 teams.One loss eliminates a team.Suppose the results of the tournament are represented in a binary tree whose leaves are labeled with the original teams and the interiror vertices are labeleld with the winner of the game between the children of the vertex.What is the height of the tree created?

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