The Gryphondoors and the Slitheries were playing a series of magikabaddi, with the first team to get four wins winning the trophy. Magikabaddi is a game with no draws or forfeits, so each session has a clear winner. How many ways are there that the series could be won?
Answers
Given : The Gryphondoors and the Slitheries were playing a series of magikabaddi, with the first team to get four wins winning the trophy. Magikabaddi is a game with no draws or forfeits, so each session has a clear winner.
To Find : How many ways are there that the series could be won
Solution:
Minimum 4 matches or maximum 7 matches required
Either Gryphondoors wins or Slitheries wins 4 Games
Gryphondoors wins in 4 games ( 1st 4 games) = 1 Ways
Gryphondoors wins in 5 games => ( 5th game ) and 3 games in 1st 4
= ⁴C₃ = 4 ways
Gryphondoors wins in 6 games => ( 6th game ) and 3 games in 1st 5
= ⁵C₃ = 10 ways
Gryphondoors wins in 7 games => ( 7th game ) and 3 games in 1st 6
= ⁶C₃ = 20 ways
Total ways Gryphondoors wins = 1 + 4 + 10 + 20 = 35
Similarly Slitheries wins in 35 ways
Total Ways = 35 + 35 = 70
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