Answer:
11,880 different ways.
Step-by-step explanation:
We have been given that from a pool of 12 candidates, the offices of president, vice-president, secretary, and treasurer will be filled. We are asked to find the number of ways in which the offices can be filled.
We will use permutations for solve our given problem.
, where,
n = Number of total items,
r = Items being chosen at a time.
For our given scenario and
.
Therefore, offices can be filled in 11,880 different ways.
Answer:
Step-by-step explanation:
Given:
The equations given are:
Now, a linear function is of the form:
Where, 'm' and 'b' are real numbers and
Equation 1:
Simplifying using distributive property, we get:
The above equation is of the form . So, it represents a linear function.
Equation 2:
Here, both sides of the equation has same variable 'X'. So, it will form an equation of 1 variable. So, it's not a linear function.
Equation 3:
Simplifying the above equation. This gives,
This is not of the form of the linear function. So, it is also not a linear function.
Equation 4:
Simplifying the above equation. This gives,
This is not of the form of the linear function. So, it is also not a linear function.