Fifteen married couples are at a dance lesson, but now only five men and five women are selected at random, then randomly paired
1 answer:
Answer:
( ¹⁵C₂ )² × 5! = 1082161080
Explanation:
Data provided in the question:
Number of married couples = 15
Therefore,
Number of males = 15
Number of females = 15
Now,
The number of possible dancing arrangements
= Probability of selecting males × Probability of selecting males × ways of arranging 5 pairs
= ¹⁵C₂ × ¹⁵C₂ × 5!
= ( ¹⁵C₂ )² × 5!
= × ( 5 × 4 × 3 × 2 × 1 )
= × ( 5 × 4 × 3 × 2 × 1 )
= × 120
= 1082161080
You might be interested in
Answer:
Answer for the question:
There are ten polluting firms, Firm1,. . . ,Firm10. Each firm emits 100 pounds of pollution prior to any regulations (so there are currently 1,000 pounds being emitted). Each firm has constant marginal abatement costs, but the costs vary across firms. Conveniently, the firms’ names indicate their marginal abatement costs. Firm1’s marginal abatement costs are constant at $1 per pound, Firm2’s marginal abatement costs are constant at $2 per pound,. . . , and Firm10’s marginal abatement costs are $10 per pound.
a. Suppose the regulator wants to achieve a 25% reduction in pollution (250 pounds). What is the cost effective allocation of emis- sions across the ten firms?
b. What are the total abatement costs for society to achieve a 250 pound reduction in emissions?
c. The marginal damage of pollution in this city is given by MD= 4-1/250 X, where X is the total reduction in pollution. What is the optimal level of pollution?
is given in the attachment.
Explanation:
