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julia-pushkina [17]
3 years ago
15

How many different arrangements can be made with ten pieces of silverware laid in a row if three are identical spoons, four are

identical forks, and three are identical knifes
Mathematics
1 answer:
LuckyWell [14K]3 years ago
4 0

10 pieces of silverware laid in a row if 3 are identical spoons, 4 are identical forks, and 3 are identical knifes

The arrangement of 'm' objects on which 'n' objects are of same kind is \frac{m!}{n!}

Given: 10 pieces of silverware so its 10!

3 are identical spoons so its 3!

4 are identical forks so its 4!

and 3 are identical knifes so its 3!

Arrangements made = \frac{10!}{3!*4!*3!} = 4200




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(assume no variable equals 0) PLEASE HELP
saw5 [17]

(3n^2 + 1) + (8n^2 - 8)\\= 3n^2 + 1 + 8n^2 - 8\\= 11n^2 - 7

5 0
3 years ago
Triphasil-28 birth control tablets are taken sequentially, 1 tablet per day for 28 days, with the tablets containing the followi
bazaltina [42]

Answer:

1.925mg of levonorgestrel and 0.68mg of ethinyl estradiol are taken during the 28-day period.

Step-by-step explanation:

The total milligrams of levonorgestrel is:

L = L_{1} + L_{2} + L_{3}

In which L_{1}, L_{2} and L_{3} are the number of miligrams of levonorgestrel taken in each phase.

The total milligrams of ethinyl estradiol is:

E = E_{1} + E_{2} + E_{3}

In which E_{1},E_{2} and E_{3} are the number of miligrams of ethinyl estradiol taken in each phase.

We can solve this by phase.

Phase 1: 6 tablets, each containing 0.050 mg of levonorgestrel and 0.030 mg ethinyl estradiol

In this phase,

6*0.050mg = 0.30mg of levonorgestrel and 6*0.030mg = 0.18mg of ethinyl estradiol are taken.

So L_{1} = 0.30 and E_{1} = 0.18

Phase 2: 5 tablets, each containing 0.075 mg of levonorgestrel and 0.040 mg ethinyl estradiol

In this phase,

5*0.075mg = 0.375mg of levonorgestrel and 5*0.040mg = 0.20mg of ethinyl estradiol are taken.

So L_{2} = 0.375 and E_{2} = 0.20

Phase 3: 10 tablets, each containing 0.125 mg of levonorgestrel and 0.030 mg ethinyl estradiol

In this phase,

10*0.125mg = 1.25mg of levonorgestrel and 10*0.030mg = 0.30mg of ethinyl estradiol are taken.

So L_{3} = 1.25 and E_{3} = 0.30

The total milligrams of levonorgestrel is:

L = L_{1} + L_{2} + L_{3} = 0.30 + 0.375 + 1.25 = 1.925

The total milligrams of ethinyl estradiol is:

E = E_{1} + E_{2} + E_{3} = 0.18 + 0.20 + 0.30 = 0.68

1.925mg of levonorgestrel and 0.68mg of ethinyl estradiol are taken during the 28-day period.

6 0
3 years ago
Fully explain why an inefficient resource allocation leads an economy to produce at a point inside its production possibilities
Stella [2.4K]
Production possibilities frontier, PPF, is defined as a representation of the point at which a country’s economy is most efficiently producing its goods and services. Efficient production means allocating its resources in the best way possible.
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The points in the PPF shifts outward. The more efficient production is the more the PPF shifts outward. With this in mind, any point found inside the PPF means that there is inefficient resource allocation. If the PPF shifts inward, it means that the efficiency production is regressing and available resources are not fully used to its potential which will lead to a downward turn of the economy. 


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6 0
3 years ago
How to do it and the answer
Anastasy [175]

Answer:

Answer is :- Each pork chop weight is 4.8 ounces.

Step-by-step explanation:

Given,

A 3 pound pork can be cut into 10 pork chops of equal weight.

Weight of one pork chop = 3/10 pounds

or Weight of one pork chop = 0.3 pound

We can convert 0.3 pounds into ounces

Since 1 pound = 16 ounces

Then, 0.3 pound = 16 * 0.3 ounces

or 0.3 pound = 4.8 ounces

Hence each pork chop weight is 4.8 ounces.

8 0
3 years ago
What is the sum of 1.3 and 5.07
love history [14]

Answer:

The asnwer is 6.37 y

Step-by-step explanation:

You have to add them sum means addition

I hope this helps

5 0
3 years ago
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