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AnnyKZ [126]
3 years ago
15

How many unique ways are there to arrange the letters in the word APE

Mathematics
2 answers:
CaHeK987 [17]3 years ago
6 0

Answer: 9

Step-by-step explanation:

makvit [3.9K]3 years ago
3 0

Answer:

6

Step-by-step explanation:

So there are 2 ways to do this.

The first one is to actually just rearrange the letters as many ways as possible. So here's this method:

1. APE

2. AEP

3. PAE

4. PEA

5. EAP

6. EPA

So this method is fine when you just have 3 letters but once you get to more and more letters this becomes close to impossible to do. That's why we use the second method: factorials. When all of the letters in the word are different the equation is really simple. Since the word APE has 3 letters your equation will be <u>3!</u>

[Mini lesson time!!!

What the happy little exclamation point does means is that you should take the number in front of it and multiply it by all of the numbers that come before it.]

So lets solve this now:

3!=x

1·2·3=x

<u>6</u>=x

(Once again... this method only works if all of the letters in the word are DIFFERENT. For example if you had the word FUNNEST, you would use a different equation because there are 2 of the letter 'N'.)

If anything I've said is confusing or you need any other help just let me know!!

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Genuinely confused rn
frosja888 [35]

Using it's concept, it is found that the probability that he winds up wearing the white shirt and tan pants is of \frac{1}{8}.

<h3>What is a probability?</h3>

A probability is given by the <u>number of desired outcomes divided by the number of total outcomes</u>.

In this problem:

  • For the shirt, there is 4 outcomes, hence the probability of the white shirt is 1/4.
  • For the pair of pants, there are 2 outcomes, blue or tan, hence the probability of tan pants is 1/2.

Since the shirt and the pants are independent, the probability is given by:

p = \frac{1}{4} \times \frac{1}{2} = \frac{1}{8}.

More can be learned about probabilities at brainly.com/question/14398287

#SPJ1

8 0
2 years ago
2. The sum of three consecutive integers is 48. What are the three integers?
Natasha2012 [34]

Answer: 15, 16, 17

Step-by-step explanation: you have to divide 48 by 3 when you do this then you get the center number in this case 16 so all you have to do now is add the lower number (15) and the higher number (17) and add and they will equal 48

hope this helps please mark brainliest if it helps

5 0
3 years ago
Plz help!!!! Number 23
Minchanka [31]

Answer:

 (0 + m)/2, (0 + n)/2.

Step-by-step explanation:

The  x coordinate of the  midpoint must be halfway  between the x coordinates of  A and B, and the y coordinate must be  found in the same way.

So the midpoint is  (0 + m)/2, (0 + n)/2.

7 0
3 years ago
Find sin A in triangle ABC
arsen [322]
Sin (A) = BC/AB = 21/75= 7/25
4 0
3 years ago
Use distributive property to remove the parentheses. Simplify your answer as much as possible please.
slavikrds [6]

Answer:

  28y^3 -35y^5

Step-by-step explanation:

  = 7y^3(4) -7y^3(5y^2)

  = 28y^3 -35y^5

_____

The applicable rule of exponents is ...

  (y^a)(y^b) = y^(a+b)

7 0
2 years ago
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