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the los angeles lakers and the miami heat are competing in the nba finals. in the nba finals, the first team to win 4 games wins the championship. games are played until a team wins 4 games, no matter how many other wins the other team has, and to a maximum of 7 games if necessary. every game has a winning team (i.e. ties are not allowed). two series are considered different if there is a difference between the winners of at least one of the individual games. for example: lllhl and hllll are considered different series, despite the lakers winning in 4 games in both series. how many possible different series are there?

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lllhl and hllll are considered different series, despite the lakers winning in 4 games in both series.The total number of possible different series is 70.

What's the definition of a series?

A collection of similar items or occasions occurring in close proximity to one another over time or space. a series of concerts. The corridor led to a string of compact rooms. a group of often broadcast television shows, each of which stands alone as a complete program. the shown sum of a typically endless series of...

What are the 4 types of series?

Sequence and series types

arithmetic progressions

Sequences in geometry.

Harmonic patterns.

a fibonacci sequence.

We have to clculate nuber of series in which lakers win:

if lakers win the champion ship they must win the last game played

if there are n games played, the lakers must win the nth game and 3 games before the nth game.

since the outcome of the nth game is fixed

lakers can win 3 games out of the first n-1 in (n-1C3) ways .

if n games are played lakers can win the championship in  (n-1C3) ways  

n can vary from 4 to 7

no of series in which lakers can win =(3C3)+(4C3)+(5C3)+(6C3)=35

The total number of possible different series =2x25= 70.

To learn more about series visit the link:

https://brainly.com/question/15415793

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