SOLUTION: From your class of 20 female and 30 male total students the department head wants to select 5 female and 7 male students for the purpose of a specific meeting so whats What is the

Algebra.Com
Question 1205263: From your class of 20 female and 30 male total students the department head wants to select 5 female and 7 male students for the purpose of a specific meeting so whats What is the probability that 6 male and 3 female students to be included in to the meeting
Found 3 solutions by greenestamps, Edwin McCravy, ikleyn:
Answer by greenestamps(13203)   (Show Source): You can put this solution on YOUR website!


Defective post....

Are 5 female and 7 male students being selected? Or are 6 male and 3 female students being selected? Or are those two separate problems?

If you want help with your question, write your post in a way that we know what the question is.

Re-post....
Answer by Edwin McCravy(20060)   (Show Source): You can put this solution on YOUR website!
As you have stated the problem, the probability is 1, because since there are 7
males, there are of course 6 males, and since there are 5 females there are of
course 3 females.

So you left out the word "particular". Your question should be:

What is the probability that 6 PARTICULAR male and 3 PARTICULAR female students
ARE included in  the meeting.

So the 20 females consist of 5 particular females, and 15 non-particular females.
And, the 30 males consist of 6 particular males, and 24 non-particular males.

The number of successful choices are 
1. Choose all 3 particular females 1 way and 2 non-particular females 
C(15,2)=105 ways.
2. Choose all 6 particular males 1 way, and 1 non-particular male C(24,1)=24
ways.
That's (105)(24) = 2520 successful ways.

The number of possible choices are 
1. Choose any 5 females C(20,5)=15504 ways.
2. Choose any 7 males C(30,7)=2035800 ways
ways.
That's (15504)(2035800) = 31563043200 possible ways.

So the probability is 2520/31563043200 which reduces to
7/87675120 or about 0.00000008

Edwin
Answer by ikleyn(52852)   (Show Source): You can put this solution on YOUR website!
.

How this problem is presented in the post, it recalls me a sock turned inside out.

It is a style, in which 40% or 50% of incoming messages are written.


        It's  like  it's  the era of dinosaurs.



RELATED QUESTIONS

from your class of 20 female and 30 male total students, the department head wants to... (answered by Boreal)
In Ms. Sanchez's class, there are 20 female students and 12 male students. What is the... (answered by Alan3354)
The ratio of male students to female students at a certain university is 5 to 7. If there (answered by checkley77)
The ration of female to male students is 5 to 7. If there is a total of 16,200 student... (answered by edjones)
An economics class is comprised of 3 female and 10 male students. If the instructor of... (answered by math33)
A history class is comprised of 8 female and 5 male students. If the instructor of the... (answered by ikleyn)
A history class is comprised of 5 female and 9 male students. If the instructor of the... (answered by mccravyedwin,math_tutor2020,ikleyn,Edwin McCravy)
A history class is comprised of 5 female and 10 male students. If the instructor of the... (answered by jim_thompson5910)
The ratio of male students to female students at a certain university is 13 to 20. If... (answered by Fombitz)