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son4ous [18]
4 years ago
10

Fifteen married couples are at a dance lesson, but now only five men and five women are selected at random, then randomly paired

. (a) What is the number of possible dancing arrangements?
Business
1 answer:
Tresset [83]4 years ago
6 0

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!

= [\frac{15!}{5!\times(15-5)!}]^2 × ( 5 × 4 × 3 × 2 × 1 )

= [\frac{15\times14\times13\times12\times11\times10!}{5\times4\times3\times2\times1\times10!}]^2 × ( 5 × 4 × 3 × 2 × 1 )

= [\frac{360360}{120}]^2 × 120

= 1082161080

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Svetllana [295]

Answer:

This is an example of Invisible Hand.

Explanation:

The invisible hand concept describes the individual effort in providing benefit to overall society by his untiring efforts. The market force that helps the demand and supply of goods in a free market to reach equilibrium automatically and providing benefits to its own people.

6 0
3 years ago
For a natural monopoly to exist
vfiekz [6]

Answer:

The correct answer is A

Explanation:

Natural monopoly is the kind of monopoly which exists because of the high start up costs as well as the powerful economies of scale for conducting or performing a business in a particular industry.

And for this type of monopoly to exist , a firm or business need that the long run average cost curve will exhibit the economies of scale by the relevant range of the market demand.

3 0
3 years ago
Emmy is the marketing director of a large marketing team, looking to reach an audience at scale through Smart Display campaigns.
Scilla [17]

Answer:

In addition to standard Google Ads reporting, it provides reports that facilitate broad, strategic ad management.

Explanation:

With the help of Smart Display campaign reporting, Emmy can reach to the larger number of customers even with a very less cost which is not possible with the traditional marketing campaigns. Emmy can get Google Ads reporting as well which can help her in better planning for the future campaigns, moreover giving her much deeper insights that will permit her to plan on a broader perspective like strategic management while saving the time. She can get a better and bigger picture in this case.

7 0
3 years ago
Your broker has recommended that you purchase stock in Alacan, Inc. She estimates that the 1-year target price is $63.00, and Al
Bogdan [553]

Answer:

$60.87

Explanation:

You can solve this question using time value of money concept. Since this is a  dividend paying stock, the recurring dividends are annuities, next year's price is the future value, total duration is 1 year. Use these to calculate the current price; PV

Total duration; N = 1

Interest rate per year ; I/Y = 15%

Future value; FV = 63

Recurring dividend payment; PMT = 7

then compute the present value; CPT PV = 60.87

Therefore, the intrinsic value of this stock is $60.87

3 0
3 years ago
BSW Corporation has a bond issue outstanding with an annual coupon rate of 5.4 percent paid quarterly and four years remaining u
In-s [12.5K]

Answer:

$820.74

Explanation:

Rate = 11%/4 = 0.0275

Nper = 4*4 = 16

Pmt = 1000*5.4%*1/4 = $13.50

Fv = $1,000.00

Present value of bond = PV (Rate, Nper, Pmt, Fv)

Present value of bond = PV(0.0275, 16, 13.50, 1000)

Present value of bond = $820.74

So, the fair present value of the bond if market conditions justify a 11 percent, compounded quarterly is $820.74

3 0
2 years ago
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