Degrees of the vertices
Describe that K6 haves three spanning trees T1 , T2 , and T3 such that { E(T1), E(T2) , E(T3) } is the partition of E(K6) and the degrees of the vertices of each tree are 3, 3, 1, 1, 1, 1.
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At the certain high school, most students go to one of 7 universities. If 100 students go to such 7 universities some year, determine the smallest possible number of students who could attend the university where most students go?
Compute the probability of getting B or better on Part 1 if she got B or better on Part 2? Are the events "getting B or better on Part 1" and "getting B or better on Part 2" independent?
Provide an example of three graphs G1 , G2 , and G3 of order 7 such that every vertex of each graph has degree 2, 3 or 4, where there is at least one vertex of each of these degrees and
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Two cars are approaching an intersection. One is 3 miles South of the intersection and is moving at a constant speed of 40 mph. At the same time, the other car is 4 miles East of the intersection and is moving at a constant speed of 50 mph.
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