SOLUTION: There are 10 pugs and 19 bulldogs. How many ways can we choose a team of 7 dogs if at least 1 team member needs to be a pug?

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Question 1187675: There are 10 pugs and 19 bulldogs. How many ways can we choose a team of 7 dogs if at least 1 team member needs to be a pug?

Answer by ikleyn(53765) About Me  (Show Source):
You can put this solution on YOUR website!
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There are 10 pugs and 19 bulldogs. How many ways can we choose a team of 7 dogs
if at least 1 team member needs to be a pug?
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The total number of ALL possible combinations of 7 dogs taken at a time from 10+19 = 29 dogs is  

    C%5B29%5D%5E7 = 1560780.


The number of all possible combinations of 7 buldogs taken at a time from 19 buldogs is

    C%5B19%5D%5E7 = 50388.


To get the answer to the problem's question, subtract the second number from the first


    how many ways can we choose a team of 7 dogs  
    if at least 1 team member needs to be a pug  =  C%5B29%5D%5E7 - C%5B19%5D%5E7 = 1560780 - 50388 = 1510392.    ANSWER

Solved.