How many ways can a Vice president and three legislative members be chosen from a group of 20 people. (Lets assume the president isn't a member of the lesgislation). (Also, double check that order doesn't matter when you calculate that   since the legislative of (Joe,Suzie,Bob,Jeff) is the same as (Joe,Bob,Suzie,Jeff,)

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Chapter8: Sequences, Series,and Probability
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How many ways can a Vice president and three legislative members be chosen from a group of 20 people.

(Lets assume the president isn't a member of the lesgislation).

(Also, double check that order doesn't matter when you calculate that

 
since the legislative of (Joe,Suzie,Bob,Jeff) is the same as (Joe,Bob,Suzie,Jeff,)

 

Expert Solution
Step 1

There are total of 20 people. First choose the Vice president, 

For that we have to choose one from 20 people , this can be done in 20C1 ways,

now among the remaining 19 people, we need to choose three legislative members.

This can be done in 19C3

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