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noname [10]
3 years ago
9

In how many ways can you arrange MATHEMATICS if duplication of the arrangement are not allowed?​

Mathematics
1 answer:
sukhopar [10]3 years ago
7 0

Answer:

4989600 ways

Step-by-step explanation:

From the question,

The word MATHEMATICS can be arranged in n!/(r₁!r₂!r₃!)

⇒ n!/(r₁!r₂!r₃!) ways

Where n = total number of letters, r₁ = number of times M appears r₂ = number of times A appears, r₃ = number of times T appears.

Given: n = 11, r₁ = 2, r₂ = 2, r₃ = 2

Substitute these value into the expression above

11!/(2!2!2!) = (39916800/8) ways

4989600 ways

Hence the number of ways MATHEMATICS can be arranged without duplicate is 4989600 ways

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Answer: 1.5

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2 years ago
PLEASE HELP ME! <br><br> What is radiant energy? Give an example.
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3 years ago
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Somebody please help with this problem
Mrrafil [7]

Step-by-step explanation:

We have been given that AE=BE and \angle1\cong \angle2.

We can see that angle CEA is vertical angle of angle DEB, therefore, m\angle CEA=m\angle DEB as vertical angles are congruent.

We can see in triangles CEA and DEF that two angles and included sides are congruent.

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AE=BE

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5 0
3 years ago
a company owns two dealerships, both of which sell cars and trucks. the first dealership sells a total of 164 cars and trucks. t
OLEGan [10]

Answer:

294 cars.

Step-by-step explanation:

Let x be the number of cars and y be the number of trucks.

We have been given that the first dealership sells a total of 164 cars and trucks. We can represent this information as:

x+y=164...(1)

The second dealership sells twice as many cars and half as many trucks as the first dealership. So the number of cars sold by 2nd dealership will be 2x and number of trucks sold by 2nd dealership will be y/2.

Further, the 2nd dealership sold a total of 229 cars and trucks. We can represent this information as:

2x+\frac{y}{2}=229...(2)

We can see that total number of cars sold on two dealerships will be x+2x=3x.

We will use substitution method to solve for x. From equation (1) we will get,

y=164-x

Substituting this value in equation (2) we will get,

2x+\frac{164-x}{2}=229

Now let us have a common denominator.

\frac{4x}{2}+\frac{164-x}{2}=229

\frac{4x+164-x}{2}=229

Upon multiplying both sides of our equation by 2 we will get,

2\times \frac{4x+164-x}{2}=2\times 229

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4x+164-164-x=458-164

4x-x=458-164

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Therefore, the total number of cars sold by two dealerships is 294.

7 0
3 years ago
Pls help will mark brainlist if correct !! :))
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Answer:

its (B)

Step-by-step explanation:

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