Using the permutation formula, it is found that there can be 600 winning combinations.
There are roles involved(president, vice-president, secretary and treasures), hence the order is important and the <em>permutation formula</em> is used.
<h3>What is the permutation formula?</h3>
The number of possible permutations of x elements from a set of n elements is given by:

In this problem:
- For president and vice-president, 2 students are chosen from a set of 6.
- For secretary and treasurer, 2 students are chosen from a set of 5.
Hence:

There can be 600 winning combinations.
More can be learned about the permutation formula at brainly.com/question/25925367
Answer:

Step-by-step explanation:
The method of variable substitution is a way of solving a system of equations. It involves solving one equation for a variable and then substituting in the expression that represents the value of the solved variable into the other equation. After doing so, one can solve for the unknown variable and then backsolve for the other variable.

In this system, the second equation is already solved for (y), thus one can substitute that expression into the other equation in the system.

Now solve using inverse operations,

Backsolve to find the value of (y), substitute in the value of (x), and solve for the value of (y).

Substitute,

Solve,

Thus, the answer to this system of equations is the following,
.
Answer:

Step-by-step explanation:
[1] 2x + y = -1
[2] x - 2y = -8 <------- given linear equations
Graphic Representation of the Equations : ----> given in attatchment
y + 2x = -1 -2y + x = -8 < ----- point where they connect is shown in graph
Solve by Substitution :
// Solve equation [2] for the variable x
[2] x = 2y - 8
// Plug this in for variable x in equation [1]
[1] 2•(2y-8) + y = -1
[1] 5y = 15
// Solve equation [1] for the variable y
[1] 5y = 15
[1] y = 3
// By now we know this much :
x = 2y-8
y = 3
// Use the y value to solve for x
x = 2(3)-8 = -2
Solution :
{x,y} = {-2,3}
3/5 = .6 and 4/10 = .4, so 3/5 is greater than 4/10
Answer:
j / 9 = 5
j = 45
Step-by-step explanation:
j / 9 = 5
Multiply each side by 9
j/9 * 9 = 5*9
j = 45