Answer:
The members of the cabinet can be appointed in 121,080,960 different ways.
Step-by-step explanation:
The rank is important(matters), which means that the order in which the candidates are chosen is important. That is, if we exchange the position of two candidates, it is a new outcome. So we use the permutations formula to solve this quesiton.
Permutations formula:
The number of possible permutations of x elements from a set of n elements is given by the following formula:

If there are 14 eligible candidates for these positions (where rank matters), how many different ways can the members of the cabinet be appointed?
Permutations of 8 from a set of 14. So

The members of the cabinet can be appointed in 121,080,960 different ways.
In mathematics, every integer is a rational number, hence a whole number 8 can be written as 8/1. 1/3 x 8 = 8/3 in fraction form. 1/3 x 8 = 2.6667 in decimal form.
Answer:
18 dollars
Step-by-step explanation:
Marginal cost can be defined as the additional cost to produce every additional unit of a certain good. In mathematical terms;
Marginal cost = change in cost / change in quantity
For seven jackets, we have to find the difference between the cost of seven jackets and the cost of six jackets as follows
$101 - $83 = $18
Since the change in quantity is one, our marginal cost comes to $18.