Acertain mathematics contest has a peculiar way of giving prizes. five people are named as grand prize winners, but their finishing order is not listed. then from among the other entrants, a 6th place, 7th place, 8th place, 9th place, and 10th place winner are each named. if 22 people enter this year, how many complete award announcements are possible?

19554575040

Explanation:

The first five positions to be named as Grand Prize winners are not give any order.

Therefore, the number of ways they can be selected is

Now the remaining 5 positions are selected from the remaining 17 entries. So they can be ordered as,

17 x 16 x 15 x 14 x 13 ways of ordering

Therefore, the number of ways in which the entries can be announced is

= 19554575040 number of ways

Thus the announcement can be made in 19554575040 number of ways.

marginal cost is a microeconomic measure that us to evaluate the extent to which the level of production of a good is sustainable in accounting, that is, to how many quantities the company plans to profit from the production of the good.

the concept of marginal cost is simple, it means the cost of producing one more item. for example, in the case of pies, the marginal cost is the cost of producing one more pie than those that have already been produced.

it is important to understand that productive activity influences marginal cost. the marginal cost of some goods can be very high, while others may be insignificant. for example, the marginal cost of producing an extra plane is very high. already the marginal cost of a water company to provide 1l more water is derisory.

in the case of pies, the cost involves the inputs, the labor and the fixed cost, which involves the fixed space of the bakery. the level of production initially has the marginal cost decreasing because there is space and manpower available. however, to produce more you have to hire more workers and buy more inputs. if physical space is limited, workers will conflict with places, inputs and their productivity will decrease, meaning there is an optimum point of production for each level of space and manpower. from this point on, the productivity of the workers will be getting smaller because of lack of space, so that the marginal cost of producing one more pie will be increasing. so, although you have not posted the chart, but if you have the answer, you can see that my explanation goes according to the marginal cost curve that will increase from the 4th pie, answer (c).

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