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Pulsified333
 one year ago
For this problem, assume 9 males audition, one of them being George, 6 females audition, one of them being Jackie, and 5 children audition. The casting director has 3 male roles available, 1 female role available, and 2 child roles available. How many different ways can these roles be filled if exactly one of George and Jackie gets a part?
Pulsified333
 one year ago
For this problem, assume 9 males audition, one of them being George, 6 females audition, one of them being Jackie, and 5 children audition. The casting director has 3 male roles available, 1 female role available, and 2 child roles available. How many different ways can these roles be filled if exactly one of George and Jackie gets a part?

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Pulsified333
 one year ago
Best ResponseYou've already chosen the best response.1@jim_thompson5910 @satellite73 @dan815

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1`if exactly one of George and Jackie gets a part` so they mean just one of them? either George OR Jackie? The wording they have is a bit odd

Pulsified333
 one year ago
Best ResponseYou've already chosen the best response.1yes, i know the wording is odd

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1I'm going to assume they meant to say George OR Jackie (exactly one person) gets the role. So it's not possible for both to get the role

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1`9 males audition` `3 male roles available` Let's say George is locked in to get a role. So we really have 31 = 2 slots left for the male roles. This is from a pool of 91 = 8 males how many ways are there to fill 2 slots from a pool of 8 males?

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1order doesn't matter. So you divide 56 by 2 to get 28

Pulsified333
 one year ago
Best ResponseYou've already chosen the best response.1okay but isnt it possible to have any of the three roles

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1I guess it depends on what the roles are. Are they important roles or extras? Hmm I'm not sure

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1if the roles are important (eg: leading roles), then order would matter since the characters are different

Pulsified333
 one year ago
Best ResponseYou've already chosen the best response.1so then how do we account for the three roles he could play

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1I'm not sure now because I'm not sure what the roles are. So I don't know if order matters or not

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1Sorry I'm not really helpful with this one

Pulsified333
 one year ago
Best ResponseYou've already chosen the best response.1well i have 4 attempts so lets do it with three separate roles on this

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1ok well if order did matter, then George could have male role A, male role B, male role C he has 3 choices if he picks male role A, then there are 8*7 = 56 ways to fill up the other 2 male roles if he picks male role B, then there are 8*7 = 56 ways to fill up the other 2 male roles if he picks male role C, then there are 8*7 = 56 ways to fill up the other 2 male roles as a shortcut, there are 3*56 = 168 ways to fill up the male roles assuming George gets a male role and order matters (the roles are important roles)

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1how many ways are there to fill the female role? We're still under the assumption George got the role. So Jackie can't get the role if George did.

Pulsified333
 one year ago
Best ResponseYou've already chosen the best response.1there is only 1 way if jackie gets the role

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1like I said ` We're still under the assumption George got the role. So Jackie can't get the role if George did.`

Pulsified333
 one year ago
Best ResponseYou've already chosen the best response.1so what would the answer be

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1we're not there yet how many ways are there to fill the female role? assume that Jackie can't get the role

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1jackie can't get the role though 61 = 5 so it's 5 actually

Pulsified333
 one year ago
Best ResponseYou've already chosen the best response.1ah that makes sense

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1` 5 children audition` `2 child roles available.` how many ways to fill up these slots?

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1summary so far IF george gets a role, then there are... 168 ways to fill up the male roles 5 ways to fill up the female role 20 ways to fill up the child roles

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1yes you beat me to it, you multiply those values out

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1that's just half the answer though

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1we haven't considered the scenario that Jackie gets the role

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1give it a shot and tell me what you get

Pulsified333
 one year ago
Best ResponseYou've already chosen the best response.110080 if jackie gets the role

Pulsified333
 one year ago
Best ResponseYou've already chosen the best response.1do we subtract them or add them together?

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1once again, if either Jackie or George gets the role, then the other person can't get it so we're now assuming Jackie gets the role. So george did NOT get the role. Try again

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1if george did NOT get the role, then the pool of 9 males drops to 8

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1we have 2 cases George gets the role: 16800 different ways Jackie gets the role: 6720 different ways add them up

Pulsified333
 one year ago
Best ResponseYou've already chosen the best response.1okay so that is 23520

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1which is the final answer. It's the number of ways to pick all of the cast based on those specific conditions

Pulsified333
 one year ago
Best ResponseYou've already chosen the best response.1it was the correct answer

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1ok so it was a lucky guess on our part to assume order mattered
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