I believe there would be 6 more girls than boys.
Answer:
40320 ways
Step-by-step explanation:
Given
Members = 8
Required
Number of ways they can be selected
Since, the order does not matter;
They can be selected in 8! ways
![8! = 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1](https://tex.z-dn.net/?f=8%21%20%3D%208%20%2A%207%20%2A%206%20%2A%205%20%2A%204%20%2A%203%20%2A%202%20%2A%201)
![8! = 40320\ ways](https://tex.z-dn.net/?f=8%21%20%3D%2040320%5C%20ways)
<em>Hence, there are 40320 ways which the director can select them for the concert</em>
Answer:
Step-by-step explanation: The most important step to do is to simplify the equations down. We do this by finding common variables.
Common Variables are pairs such as 12x and 32x, and not 12x and 32y or 12 and 32.
1. ![12 -3y - 2x + x + 2x = 12 - 3y + x](https://tex.z-dn.net/?f=12%20-3y%20-%202x%20%2B%20x%20%2B%202x%20%3D%2012%20-%203y%20%2B%20x)
2. ![3x + 2y - 2x + y + 12 = 12 + 3y + x](https://tex.z-dn.net/?f=3x%20%2B%202y%20-%202x%20%2B%20y%20%2B%2012%20%3D%2012%20%2B%203y%20%2B%20x)
3. ![x + 3y + 2x - 3x + 7 + 5 = 12 + 3y](https://tex.z-dn.net/?f=x%20%2B%203y%20%2B%202x%20-%203x%20%2B%207%20%2B%205%20%3D%2012%20%2B%203y)
4.
cannot be simplified any further.
5.
cannot be simplified any further.
6. ![5 + 2y + 7x - 4x + 3y - 17 = -12 + 5y + 3x](https://tex.z-dn.net/?f=5%20%2B%202y%20%2B%207x%20-%204x%20%2B%203y%20-%2017%20%3D%20-12%20%2B%205y%20%2B%203x)
7. ![4y + 3y + 3x - 6y - 10 - 2= -12+3x+y](https://tex.z-dn.net/?f=4y%20%2B%203y%20%2B%203x%20-%206y%20-%2010%20-%202%3D%20-12%2B3x%2By)
8.
cannot be simplified any further.
9.
cannot be simplified any further.
Now, we start to match the equations.
Equation 1 is the same as Equation 5
Equation 2 is the same as Equation 9
Equation 3 is the same as Equation 4
Equation 6 is the same as none of them.
Equation 7 is the same as Equation 8.
And there you are have it!
I'm not sure if this is right... ( if you search up the internet... it tells you the formula and you just have to fill in the missing pieces like the length, base, and height.) I got... 207.23... Good luck on finding the right answer!