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Blizzard [7]
3 years ago
6

A math teacher needs to choose 6 students from a class of 30 to go to the library. How many different groups can she select?

Mathematics
2 answers:
V125BC [204]3 years ago
6 0

Answer:

593775ways

Step-by-step explanation:

Combination has to do with selection of r objects from a total number of n objects and this can be done in nCr ways. Generally,

nCr = n!/(n-r)!r!

Since the math teacher has to select 6 students from a class of 30, this can be done in 30C6 number of ways to have;

30C6 = 30!/(30-6)!6!

30C6 = 30!/24!6!

30C6 = 30×29×28×27×26×25×24!/24!×6×5×4×3×2

30C6 = 30×29×28×27×26×25/6×5×4×3×2

30C6 = 427,518,000/720

30C6 = 593775ways

This means, the selection can be made in 593775ways

Molodets [167]3 years ago
3 0
She can select 5 different groups...
30/6=5

Hope this helps leave a 5-rate and a thanks
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5( x + 9)<br> What is the answer to that
emmasim [6.3K]

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5x + 45

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7 0
2 years ago
Read 2 more answers
Avis purchased a Jeep for $12,480. Her down payment was $3,600. She paid the remainder in 48 monthly payments. Write a numerical
MrMuchimi

9514 1404 393

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  (12480 -3600)/48

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7 0
2 years ago
Solve the following system using the substitution, elimination, or graphing method for the x coordinate:
igomit [66]
Hey there!

To solve this system of equations, you will need to get one of the terms in both equations to cancel out to zero. If there isn't a term that you can cancel out, you can multiply either or both equations to make that term. There's no wrong way to do this, just as long as you make sure that you double check whether your should add or subtract. This is easier shown than explained, so refer below:

<span>  x + y = +1
5x + y = –6

</span>–1(x + y = +1)
   5x + y = –6

–x – y = –1
5x + y = –6

You can see that once we combine these equations by adding, the y term will become 0, eliminating it. This is necessary for solving the system, so make sure you do it. Also, remember to distribute the term that you need to to all of the numbers in the equation! After that, just solve for the variable that's still in the equation. 

   –x – y = –1
+ 5x + y = –6

4x + 0y = –7
4x = –7
x = –1.75

Now, just plug the value we found for x into either one of your equations in the original system as it's presented in your problem. 

x + y = 1
–1.75 + y = 1
+1.75        +1.75

y = 2.75

All that's left to do is check your point (–1.75, 2.75). If it's true for both equations, your answer is correct!

–1.75 + 2.75 = 1
<span>5(–1.75) + 2.75 = –6

</span>(–1.75, 2.75) is the solution to your system. 

Hope this helped you out! :-)
3 0
3 years ago
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