How many distinct permutations can be made from the letters of the word

“INDEPENDENCE”?


if anyone could answer, thank you (^-^)​

Answers

Answer 1

Answer:

360

Step-by-step explanation:

Word INDEPENDENCE has I−1, N−3, D−2, E−4, P−1, C−1

There are six different letters in INDEPENDENCE

Now according to the question, we need to form 4 different letter words, So the selection of 4 words out of 6 is  

[tex]^{6}C _{4}[/tex]

 and making its arrangements

So total number of ways is  

[tex]^{6}C _{4}[/tex] ×4!=360

Answer 2

The number of distinct permutations can be made from the letters of the word “INDEPENDENCE” is; 1663200

We are given the word INDEPENDENCE and it has;

I − oneN - threeD − twoE - fourP - oneC - one

Thus, we see that there are six different letters and 12 letters in total in INDEPENDENCE

Now from the question, the distinct permutations that can be formed is;

12!/(3! × 2! × 4!) = 1663200

Read more on permutations at; https://brainly.com/question/12468032


Related Questions

A teacher asks each student in the class to randomly choose a number between 1 and 80 and write it down. Devon and Michiko write down a number. What is the probability that both of their choices will be greater than 60? Express your answer as a decimal. If necessary, round your answer to the nearest thousandth.

0.063
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Answers

Answer:

0.063

is the correct answer

Answer:

0.063

Step-by-step explanation:

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A)41
B)32
C)40
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Answer:

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Step-by-step explanation:

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The answer is $3.50.

Write the standard equation for the circle center (–9, 6), r = 9

Answers

Answer:

Step-by-step explanation:

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7 x the whole number 8.5 is mixed and is 3.72

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Answers

Answer:

4,084

Step-by-step explanation:

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[tex]v=3.14*10^{2}*13\\\\v=3.14*100*13\\v=314*13\\v=4,082[/tex]

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Answers

Answer:

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Step-by-step explanation:

At a competition 24 of the 40 members of a middle school band won a middle. What percentage of the of the band won a middle?

Answers

Answer:

60%

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a sweet snack and a salty snack. Here is a two-way table showing the number of adults
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adult 57
88
145
child 77
31
108
total 134
119
253
134
1. How many total people chose sweet snacks?
people
145
adults
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Answers

Answer:

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Step-by-step explanation:

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Answers

You pay 1744

Explanation:

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1600 + 144 = 1744

Tony drove for 2 hours at a constant rate of 65 mph. It started to rain, so he slowed his rate to a constant 50 mph for 3 hours. When the rain stopped, Tony finished the trip driving at a constant rate of 60 mph for the final hour. How far did Tony travel? A. 175 mi. B. 240 mi. C. 275 mi. D. 340 mi.

Answers

Answer:

B. 240mi.

Step-by-step explanation:

Answer:

D. 340

Step-by-step explanation:

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Find the total price of a $13.99 movie after a sales tax of 8% is added. what is the total amount *

Answers

Answer:

15.10 I believe

Step-by-step explanation:

In a math statement 4^9 the 9 is called the

Answers

Answer:

exponent

Step-by-step explanation:

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Answer:

expo

Step-by-step explanation:

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Answers

9514 1404 393

Answer:

  √65 ≈ 8.06

Step-by-step explanation:

The distance formula is used for the purpose.

  d = √((x2 -x1)² +(y2 -y1)²)

  d = √((2 -(-5))² +(0 -4)²) = √(7² +(-4)²) = √(49 +16)

  d = √65 ≈ 8.0622577

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One number is 7 times another number. The product of the two numbers is 252. Find the two numbers.

Answers

Step-by-step explanation:

x =7y ----(1)

xy=252 ----(2)

(1) into (2):

(7y)(y) = 252

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y value into (1)

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x=15.87

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Answers

Answer:

148%

Step-by-step explanation:

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Meg and Rosa played a game. The game lasted 35 minutes and ended at 10:20 a.m.


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Answers

Answer:

9:45 am

Step-by-step explanation:

Hope this helps!

Answer:

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Step-by-step explanation:

Mrs. Kim bought
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Answers

Answer:

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Step-by-step explanation:

4 times 64 equals 256

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Answers

Answer:

No

Step-by-step explanation:

The slopes of the equations are unequal, meaning the lines are not parallel and will eventually intercept

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Answers

Answer:

12-8+3 for the numerical and 2x=3y-6 for the algebraic expression

Step-by-step explanation

Numerical expression consists of numbers and one operation

Algebraic expression consist of multiple varaibles  and constents

Answer:

numerical expression: 5+20-9= 16

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y - 7.74 = 9.1
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Answers

Add 7.74 to both sides and then it will be y=16.84

ANSWER y=16.84

Answer:

y = 16.84

Step-by-step explanation:

y - 7.74 = 9.1

=> y = 9.1 + 7.74

=> y = 16.84

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Answers

-1,4 I think so, good luck

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-5(-w-3v+6)

Answers

Answer:

5w+15v-30

Step-by-step explanation:

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ob

Answers

Answer:

The probability of not rolling a 5 AND not spinning a 5 is (5/6)*(4/5)=20/30

Step-by-step explanation:

These are independent events.

The probability of rolling a 5 is 1/6.

The probability of spinning a 5 is 1/5.

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11,12,13,14,15,21,22,23,24,25,31,32,33,34,35,41,42,43,44,45,51,52,53,54,55,61,62,63,64,65

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Answer:

16.7%

Step-by-step explanation:

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Answer:

A

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The reflected rays come from a point on the reflective surface. That point is where the lines meet is the vertex.

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Answer:

1080

Step-by-step explanation:

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Answers

Answer:

C

Step-by-step explanation:

Answer:

its   a hehehehehehhehehe\

Step-by-step explanation:

The variables x and y are proportional. Use the values to find the constant of proportionality. Then write an equation that relates x and y.
When y=72 and x=3.

K = ?

y = ?

Answers

Answer:

k = 24, y = 24x

Step-by-step explanation:

Given x and y are proportional then the equation relating them is

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Answers

Answer:

$50

Step-by-step explanation:

1. First you need to divide 70 by 7.

2. Your answer should be 10.

3. You then need to multiply the product, 10 by 5.

4. You answer should be 50 and because we are using this in a money situation the answer is $50.

Answer:

50

Step-by-step explanation:

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Answer:

Yes

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

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