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On the Saturday of a weekend softball tournament, Team A plays Team B and Team C plays Team D. Then on Sunday, the two Saturday winners play for first and second places while the two Saturday losers play for third and fourth places. There are no ties. One possible ranking of the team from first place to fourth place at the end of the tournament is the sequence ACBD.

 

What is the total number of possible four-team ranking sequences at the end of the tournament, where team A came in first place?

 Nov 19, 2020
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Alright here we go. We don't (really) care about the 3rd and 4th place, as the question asks how many times can A win? First we count all possibilities of which A won B and wins C. It would be ACBD or ACDB. Then we do the same with c. ADBC or ADCB. 4 times already. Thats it.






4 TIMES. I hope I'm right. If wrong, be sure to correct me. 

 Nov 20, 2020

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