Find the number of distinct permutations of the letters in the word MATHEMATICS

Answers

Answer 1

Answer:

4989600

step by step explanation:

Step by step workout

step 1 Address the formula, input parameters and values

Formula:

nPr =n!

(n1! n2! . . . nk!)

Input Parameters & Values:

Total number of alphabets (n) & subsets (n1, n2, . . nk) in the word "MATHEMATICS"

n = 11

Subsets : M = 2; A = 2; T = 2; H = 1; E = 1; I = 1; C = 1; S = 1;

n1(M) = 2, n2(A) = 2, n3(T) = 2, n4(H) = 1, n5(E) = 1, n6(I) = 1, n7(C) = 1, n8(S) = 1

step 2 Apply the input parameter values in the nPr formula

=11!

(2! 2! 2! 1! 1! 1! 1! 1! )

=1 x 2 x 3 x 4 x 5 x 6 x 7 x 8 x 9 x 10 x 11

{(1 x 2) (1 x 2) (1 x 2) (1) (1) (1) (1) (1)}

=39916800

8

= 4989600

In 4989600 distinct ways, the letters of word "MATHEMATICS" can be arranged.


Related Questions

What is the weight (in grams) of a liquid that exactly fills a 202.0 milliliter container if the density of the liquid is 0.685 grams/milliliter? Round to the nearest hundredth when necessary and only enter numerical values, which can include a decimal point.

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Answer

24.5

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

Step-by-step explanation:

hope it is helpful to you

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Okay so the squared sign I’ll put as the 2 next to an x just to let you know
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please tell me which ones to select! I can select more than one. Thank you!!!

Answers

Answer: B, D, E

Step-by-step explanation:

Substitute x in each expression, solve, and see if it is equivalent to 3/4. See answer above. Hope this was helpful! :)

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Answer:

48

Step-by-step explanation:

A motorist takes 80 minutes to travel 120km. find his speed

Answers

Answer: 90km/hour

Step-by-step explanation:

The formula for speed is given as:

= Distance / Time

where,

Distance = 120km

Time = 80 minutes = 80/60 = 1 1/3 hours

Speed = Distance / Time

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= 120 / 4/3

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Answers

Answer:

She will earn $46.8 of interest. $436.8 is in her account total after the two years

Step-by-step explanation:

You would find out how much 6% of $390 is which would be $23.4 and then you would find out how much it would be after two years so you would $23.4 times two which is $46.8 so the interest would be $46.8. Then you would add the interest to the $390 that was put into the savings so you would do $390 + $46.8 = $436.8

how can you determine if two triangle angles are similar using their angle measurements???? In ur own words !!

Please help

Answers

Answer:

If two pairs of corresponding angles in a pair of triangles are congruent, then the triangles are similar. We know this because if two angle pairs are the same, then the third pair must also be equal. When the three angle pairs are all equal, the three pairs of sides must also be in proportion.

Step-by-step explanation:

hope this helps:0

Please help
Nday(t)=300⋅(1.2)t

Complete the following sentence about the weekly rate of change in the locust population.

Round your answer to two decimal places.

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Answers

Answer:

3.58

Step-by-step explanation:

can someone confirm that i did it right i’m so confused

Answers

You are absolutely correct

Correcttttttt✅✅✅✅✅✅✅✅✅✅✅

Stacy started with 40 dollars in a savings account that earns 5% annually. How much interest will she get in one year

Answers

Answer:

2 dollars

Step-by-step explanation:

5% interest is 1.05

1.05 times 40 equals 42

42-40 equal 2

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Answers

The answer is x= 60 degrees

Marking brainliest.

Answers

Answer:

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Step-by-step explanation:

just multiply them all.

2x-y=8
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for the system of equation above, what is the value of x+y?​

Answers

2x+10y I thinks that’s the answer mb

Answer:

4

Step-by-step explanation:

2x-y=8 ---> y= 8-2x

substitute y=8-2x into x+2y=4

x + 2(8 - 2x) = 4

x + 16 - 4x = 4

-3x = -12

x = -12/-3

x = 4

substitute x=y into y=8-2x

y = 8 - 2(4)

y = 8 - 8

y = 0

therefore,

x+y= 4+0

4

btw i like ur jimin pfp besty :)

help me pls, i’ll mark brain list.

Answers

Answer:

1.43 minutes to get same height

Step-by-step explanation:

Equation

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What is m∠1?
DUE TODAY!!

Answers

Answer:32

Step-by-step explanation:add them to 180

Find the value of x in the triangle shown below.
56°
31
x

Answers

X=93
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Can someone help me out with this?

Answers

ANSWER:

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WHY:

You have to simplify the expression. I am in honors geometry trust me it’s right.


MARK ME BRAINLIEST PLEASE

Find the area of the figure shown below and type your result in the empty box.


Answers

Answer:

did u forget to add the actual question

Step-by-step explanation:

HELP ME PLEASE!!!!!!

Answers

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Answers

Answer:

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Step-by-step explanation:

It's 9^ 28

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Answer:

B

Step-by-step explanation:

When a number to a power of something is multiplied to another exponent, you multiply the exponent values. 7* 4 = 28

3/4x-1 1/2x+7
23
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92

Answers

Answer:

92 is your answer

Step-by-step explanation:

we have

3x/4-1=x/2+7 side of square are equal

3x/4-x/2=7+1

(3x-2x)/4=8

x=8×4=32

length =3×32/4 -1=24-1=23

now

perimeter=4×length=4×23=92 units

Answer: The perimeter of the square is 92 units.

Step-by-step explanation:

All four sides of a square are equal. Set the given values 3/4x - 1 and 1/2x + 7 equal to one another. It should like this: 3/4x - 1 = 1/2x+7. The next step is solving for x. We get x = 32 as our answer. See the image of the work below if you are confused. :)  Next, plug in this answer to the original equations: 3/4x-1 and 1/2x+7.

3/4(32) - 1 = 23

1/2(32) + 7 = 23

After basic substitution, we will conclude that each side of the square is 23 units long. To find perimeter use the equation 4s (let s represent sides). 4(23) = 92 units. Hope this was helpful!

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Answers

Brrnrb ururrururjbbrejejrjrjjrjrjjrjr rjjrjrjrjr

Two baseball teams meet in a playoff series at the end of the regular season. Team A won 55 of 81 games played in its home stadium during the regular season, while Team B won 48 of 81 games played in its home stadium. The first two games of the series will be played in Team A's home stadium, the next two games in Team B's home stadium. In the absence of any other information, which expression is equal to the probability that Team A will win the first four games in a row?

Answers

Answer:

Assuming the statistics are independent of the visiting team, then probability of team A winning in home turf is P(A)=55/81, and winning as a visitor of team B is P(B)=(81-48)/81=33/81.

So winning all four games,

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2.

Total volume = 9³ cm³ = 729 cm³.

Side of each of 3 new cubes

= cube root of (729 cm³ /3) cm

= cube root of (243) cm.

3.

Total number of ways to pick 4 balls out of 9

= C(9,4) = 9!/(4!5!)=126

Total number of ways to pick 4 blue balls = C(4,4) = 1

total number of ways to pick 4 red balls

= C(5,4) = 5

Number of ways of not choosing 4 red nor 4 blue = (126 - 1 - 5) = 120

Probability of not choosing 4 balls of the same colour is therefore ...?

A circular plate has circumference 33.3 inches. What is the area of this​ plate? PLZ HELP

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Answer:

870.48

Step-by-step explanation:

Answer:

870.92

Step-by-step explanation:

Given that (-6,-6) is on the graph of f(x), find the corresponding point for the function f(2x).​

Answers

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Step-by-step explanation:

Mike took an uber from his home to the airport. The driver charges an initial fee of $6 and $3 per mile. The total fare was $24 not including the tip. How many miles did Mike travel by uber on this ride? *

Answers

Answer:

About 5 miles

Step-by-step explanation:

At first, I thought it would be 6 miles because 6x3 is 18 plus the initial 6 dollars which is 24. However, it says that it does not include the tip, which means that Mike DID tip the driver. So there has to be some space for the tip. If it was 6 miles it would be 24 dollars, but there is no more space for the tip. So it has to be 5 miles, because that will be 21 dollars, and assuming the tip could be about 3 dollars, then that would total up to 24 dollars.

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Answers

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Answers

Answer:

x = -5

Step-by-step explanation:

i took algebra a couple years ago :)

Answer:

x=-5

Step-by-step explanation:

3x+12= -3

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