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Temka [501]
3 years ago
13

A certain number of friends are waiting in line to board a new roller coaster. they can board the ride in 5,040 different ways.

How many friends are in line?
Mathematics
1 answer:
Paraphin [41]3 years ago
6 0

There are seven (7) friends.

The first friend to board can be any one of the 7.  For each of them ...
The 2nd one to board can be any one of the remaining 6.  For each of them ...
The 3rd one to board can be any one of the remaining 5.  For each of them ...
The 4th one to board can be any one of the remaining 4.  For each of them ...
The 5th one to board can be any one of the remaining 3.  For each of them ...
The 6th one to board can be either of the remaining 2.  For each of them ...
The 7th one to board is the last 1 standing.


The number of different ways that this could play out is

              (7 x 6 x 5 x 4 x 3 x 2 x 1)  =  <em>5,040</em>


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Q. What do you mean by inverse relation ? How can I find it out ? ツ

☄ A relation obtained by interchanging the first and second component of each of ordered pair of a given relation R is known as inverse relation of R. It is denoted by \tt{ {R}^{ - 1}}. In other form, if R be a relation from A to V then the relation from B to A is called the inverse relation of R.

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4 0
3 years ago
What is the simplified value of the exponential expression 24 1/3
HACTEHA [7]

Hi!

<em>I think you mean 24^{\frac{1}{3} }</em>

<h3>Which can be simplified to</h3>

∛24

Because the 3rd root of 24 is equal to 24^{\frac{1}{3} }.

---------------------------------------

<h3>Now remove all the cube roots from the expression by factorizing 24. </h3>

24/2 = 12

12/2 = 6

6/2 = 3

3/3 = 1

24 = 2 * 2 * 2 * 3

<u>24 = 2³ * 3</u>

-------------------------------

<h3>Now we have ∛2³ * ∛3</h3><h3>Simplify</h3>

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<u>2∛3</u>

---------------------------------

<h2>The answer is 2∛3</h2>

Hope this helps! :)

-Peredhel

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Step-by-step explanation:

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3 years ago
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tankabanditka [31]
<span>-1=3(w+14)-7
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