+116 Out of 8 boys and 6 girls in a high school, a team of seven students is selected. What is the probability that three boys and four girls are selected? In your response, include an explanation and all of the calculations necessary to determine the probability.
+118687 hi Bleh,
I can see you have good manners and you are trying to learn, so I will try to help you 
Out of 8 boys and 6 girls in a high school, a team of seven students is selected. What is the probability that three boys and four girls are selected?
There are 14C7 ways to chose 7 students
nCr(14,7) = 3432
Now, there are 8C3 ways to choose 3 boys and 6C4 ways to choose 4 girls
Multiply those together and you get how many ways to shoose 3 boys and 4 girls.
nCr(8,3)*nCr(6,4)= 840
So the prob of getting 3 boys and 4 girls is \( \frac{840}{3432}= \frac{35}{143}\)
