The five departments in the Science Faculty played a round-robin table tennis tournament, in whichevery department played against every other department once.In each game there was a winner and a loser.A table of one-step and two-step dominances was prepared to summarise the results.TeamBotany (B)Chemistry (C)Geology (G)Physics (P)Zoology (Z)one-step dominances two-step dominances32(a) Use the one-step and two-step dominance values to construct a one-step dominance matrix,clearly explaining the allocation of values for each team. Label the rows as Winners and thecolumns as Losers.(b) Use the one-step and two-step dominance values to construct a two-stepdominance matrix, clearly explaining the allocation of values for each team. Label the rowsas Winners and the columns as Losers.Construct the final dominance matrix for this competition by adding together the one-stepand two-step dominance matrices.(c)(d)What is the finishing order in this competition? (e)Write in the results of every match in the table below.RoundParticipantsResultBotany vs GeologyPhysics vs ZoologyChemistry vs Botany2Zoology vs GeologyGeology vs ChemistryPhysies vs BotanyZoology vs Chemistry4Geology vs PhysiesChemistry vs PhysicsBotany vs Zoology(1)Draw a directed graph which displays the results of this competition, with thearrow pointing towards the loser of each game.

Name: The five departments in the Science Faculty played a round-robin tabl
Uploaded: 2024-03-05T11:52:21.000Z
Channel: Bartleby
Description: The five departments in the Science Faculty played a round-robin table tennis tournament, in whichevery department played against every other department once.In each game there was a winner and a loser.A table of one-step and two-step dominances was