Sonya and Jade are traveling from Barcelona to Madrid. They are deciding between 3

33 different types of transportation (bus, train, and plane) and

2

22 different times (morning and evening). They each created a display to represent the sample space of randomly picking a type of transportation and a time.

Whose display correctly represents the sample space?

Asays "we are both knaves" and b says nothing. exercises 24–31 relate to inhabitants of an island on which there are three kinds of people: knights who always tell the truth, knaves who always lie, and spies (called normals by smullyan [sm78]) who can either lie or tell the truth. you encounter three people, a, b, and c. you know one of these people is a knight, one is a knave, and one is a spy. each of the three people knows the type of person each of other two is. for each of these situations, if possible, determine whether there is a unique solution and determine who the knave, knight, and spy are. when there is no unique solution, list all possible solutions or state that there are no solutions. 24. a says "c is the knave," b says, "a is the knight," and c says "i am the spy."

In the given figure ar(adf) =ar(cda) and ar(cdf) = ar(cdf). show that abdc and cdfe are trapeziums.

Can you divide 25 into 4 equal groups? explain why or why not.