SOLUTION: http://www.algebra.com/algebra/homework/Probability-and-statistics/Probability-and-statistics.faq.question.673004.html can someone please explain this question? what do the C's

Algebra ->  Probability-and-statistics -> SOLUTION: http://www.algebra.com/algebra/homework/Probability-and-statistics/Probability-and-statistics.faq.question.673004.html can someone please explain this question? what do the C's       Log On


   



Question 675607: http://www.algebra.com/algebra/homework/Probability-and-statistics/Probability-and-statistics.faq.question.673004.html
can someone please explain this question? what do the C's mean in the first two lines?
thanks.

Answer by KMST(5364) About Me  (Show Source):
You can put this solution on YOUR website!
The C's are part of a symbol that means combinations.
Unfortunately different names and symbols are used in different textbooks.
To make matters worse, the symbol is hard to render, meaning that what you would write with pencil and paper may be impossible to type.
"10C2" meant the number of combinations of 10 taken 2 at a time,
meaning the number of sets of 2 girls that could be made from the 10 girls in the class.
That was 10%2A9%2F2=45
"(10+x)C2" meant the number of combinations of 10+x taken 2 at a time,
meaning the number of sets of students that could be made from the 10 girls plus x boys in the class.
That was calculated as %2810%2Bx%29%289%2Bx%29%2F2.
Then, the ratio of all the number of possible sets of 2 girls,
divided by number of all possible sets of 2 pupils,
was set as equal to the probability of having 2 girls as the set of 2 pupils selected at random: 0.15.
0.15=45%2F%28%2810%2Bx%29%289%2Bx%29%2F2%29 --> 0.15=+45%2A%282%2F%28%2810%2Bx%29%289%2Bx%29%29%29 --> 0.15=+90%2F%28%2810%2Bx%29%289%2Bx%29%29 --> 15%2F100=+90%2F%28%2810%2Bx%29%289%2Bx%29%29
Then, dividing both sides of the equal sign by 15,
15%2F100=+90%2F%28%2810%2Bx%29%289%2Bx%29%29 --> 1%2F100=+6%2F%28%2810%2Bx%29%289%2Bx%29%29
And cross-multiplying, or going through a couple of dividing/multiplying both sides of the equal sign by the same number,
1%2F100=+6%2F%28%2810%2Bx%29%289%2Bx%29%29 --> 600=%2810%2Bx%29%289%2Bx%29