Four universities 1 2 3 and 4 are pa cipating in a holiday basketball tournament

Question

Four universities 1 2 3 and 4 are pa cipating in a holiday basketball tournament n t e first ound. 1 wI p ay 2 and 3 ell pay 4. Than e two winner; beats 4 in first-round çames, and then 1 beets 3 end 2 bests 4). (Enter your answers in set notation. Enter EMPTY or for the empty se.) 1 p ay for the championship, and the two osers il a ao play. One pcs le outcome can be de cted by 1324 1 beats 2 and 3 (e) List ell outcomes in S (b) Let A denore the event thet 1 wins the toumement. List outcomes in A. (e) Let B denote the event that 2 gets into the championship game. List outcomes in B (o) what are the outcomes in A U B? What are the ourcomes in AnB? What are the outcomes in A'?

Explanation / Answer

a)

S={1324, 1342, 3124, 3142, 1423, 1432, 4123, 4132, 2314, 2341, 3214, 3241, 2413, 2431, 4213, 4231}

b)

A={1324, 1342, 1423, 1432}

c)

B={2314, 2341, 3214, 3241, 2413, 2431, 4213, 4231}

d)

AUB={1324, 1342, 1423, 1432, 2314, 2341, 3214, 3241, 2413, 2431, 4213, 4231}

A B=Null

A'={2314, 2341, 4213, 4231, 2413, 2431. 3214, 3241}

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