Shannon was born on 04/02/2004. How many eight-digit codes could she make using the digits in her birthday?

Answers

Answer 1

Answer: 420 different codes.

Step-by-step explanation:

We have eight digits, {0, 0, 0, 0, 2, 2, 4, 4}

For the first digit of the code, we will have 8 options.

For the second we will have 7 options (because we already took one)

for the third one we will have 6 options, and so on.

for the fourth, we will have 5 options

for the fifth, there are 4 options.

for the sixth, there are 3 options.

for the seventh, there are 2 options.

And for the last, there is only one option.

The total number of combinations will be equal to the product between the numbers of options for each digit, then we will have:

C = 8*7*6*5*4*3*2*1

But there is something more, the zeros can permute and will give the same code (So we are counting the same code several times), we have 4 zeros, then the number of permutations of the zeros is:

4*3*2*1  = 24

the 4's also are repeated, two times in this case, the number of permutations is:

2*1 = 2

And the 2's also are repeated, also two times, the number of permutations is:

2*1 = 2

Because we do not want to count these repetitions, we need to divide the total number of combinations by these 3 numbers of permutations

This means that we need to divide the number of different combinations will be:

c = (8*7*6*5*4*3*2*1)/(24*2*2) = 420

So we can conclude that there are 420 different codes.

Answer 2

The number of eight digit codes she can make using the digits in her birthday is; 420 eight digit codes

The 8 digits code of her birth date are;

0, 4, 0, 2, 2, 0, 0, 4

Now, since there are 8 digits, then number of ways of arranging the 8 digits is 8!

Since there are some repetitions, then we have to consider the permutations for them too.

There are four 0's which is 4!

There are two 2's which is 2!

There are two 4's which is 2!

Thus, number of 8 digit codes she can make using the digits on her birthday is;

8!/(4! × 2! × 2!) = 420 eight digit codes

Read more about permutations and combinations at; https://brainly.com/question/15301090


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Answer:

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Step-by-step explanation:

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Answer:

1. Given gross salary is = $768

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Step-by-step explanation:


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Step-by-step explanation:

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Step-by-step explanation:

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Answer:

Let A bc the first number

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Step-by-step explanation:

Hope this helps :) Have a great day!!!!

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Answer:

7x

Step-by-step explanation:

-x + 8x =

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Answers

Answer:

The height of the flagpole is 46 feet

Step-by-step explanation:

First we find the ratio to connect the variables

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Step-by-step explanation:

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Answer:

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Answers

Answer:

The question [tex]3\frac{1}{2}\div\frac{1}{3}[/tex] after change the mixed number to improper & using KCF will become : [tex]\mathbf{=\frac{7}{2}\times \frac{3}{1}}[/tex]

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Step-by-step explanation:

We need to change the mixed number to improper & use KCF to rewrite the question.

The expression is: [tex]3\frac{1}{2}\div\frac{1}{3}[/tex]

First converting mixed fraction into improper fraction

Multiply whole number with the denominator i,e (3*2=6) now add the numerator i.e (6+1) = 7/2

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[tex]3\frac{1}{2}\div\frac{1}{3}\\=\frac{7}{2}\div\frac{1}{3}[/tex]

Using KCF

KCF stands fro Keep it, Change it, Flip it.

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Answers

Answer:

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

Answer:

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Answers

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Standard form

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Answer:

c he is your answer dear friend‍♀️‍♀️

Probability that the student drinks soda or coffee regularly is 60%

Option D is correct

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Percentage of the students that drink coffee regularly, P(c) = 30%

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Percentage of students that drink coffee or soda regularly is:

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Step-by-step explanation:


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Answers

Using the Pythagorean Theorem, we can determine that the length of CD is 11.62, rounded to the closest hundredth.

How Should One Put the Pythagorean Theorem Into Practice?

When the length of the longest side of a right triangle is squared, the result will be equal to the total of the squares of the lengths of the other two sides of the right triangle that are smaller.

Taking into account the following:

Side AB = 6

Side AC = 12

The perpendicular bisector theory states that AD equals half of AB, which equals half of (6), which equals three.

By using the Pythagorean theorem, we get the following:

The length of the CD is equal to (AC2 - AD2)

The length of the CD is equal to 122 minus 32.

The length of the CD equals (144 - 9)

11.62 is the length of the CD.

Consequently, by using the Pythagorean Theorem, we can determine that the length of the CD is 11.62, rounded to the closest hundredth.

Discover further information on the Pythagorean Theorem by consulting:

brainly.com/question/343682

#SPJ1

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Answers

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Answers

Answer:

k=-9±2√15

Step-by-step explanation:

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Answers

the answer is 50.53

self explanatory.
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