Question

There are 6 girls and 7 boys in a class. A team of 10 players is to be selected from the class. If the selection is random, what is the probability of selecting a team of 5 girls and 5 boys?

Answer 1

@eliassaab can u help please

Answer 2

Hold on

Answer 3

how did you come up with 286

Answer 4

286 is the number of all possibilities from your problem 1

Answer 5

so what is the equation to fiqure this out?

Answer 6

To choose k elements form n elements, you compute
\[
\frac{n!}{k!(n-k)!}
\]

Answer 7

there are 286 ways to choose 10 out of 13.

Answer 8

13/10

Answer 9

Then you have to choose 5 girls from 7 and 5 boys from 6

Answer 10

What is is 13/10?

Answer 11

10 out of 13

Answer 12

If you want to choose 2 elements from {a,b,c}, you have
{a,b} <{a,c} and {b,c} three ways.
\[
\frac {3!}{2! (3-2)!}=3
\]

Answer 13

11/25
0.44