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Mama L [17]
2 years ago
9

Ella and Iris are planning trips to nine countries this year. There are 12 countries they would like to visit. They are deciding

which countries to skip, how many ways are there?
Mathematics
1 answer:
NISA [10]2 years ago
5 0

Using the combination formula, it is found that there are 220 ways to decide which countries to skip.

The order in which the countries are skipped is not important, hence the <em>combination formula </em>is used to solve this question.

<h3>What is the combination formula?</h3>

C_{n,x} is the number of different combinations of x objects from a set of n elements, given by:

C_{n,x} = \frac{n!}{x!(n-x)!}

In this problem, 3 countries are skipped from a set of 12, hence the number of ways is given by:

C_{12,3} = \frac{12!}{3!9!} = 220

More can be learned about the combination formula at brainly.com/question/25821700

#SPJ1

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PLEASE HELP ASAP!!!!!!!!!!!!!!!!!!!!!!
aivan3 [116]

Hello and Good Morning/Afternoon

<u>Let's take this problem step-by-step</u>:

<u>To find the solution to a system of equation</u>

  ⇒ <em>must set</em> the equations equal to each other

     ⇒ and solve

<u>Let's put that into action</u>

  x^2-2x+3 = -2x + 12\\x^2-2x+2x+3-12=0\\x^2-9=0\\(x+3)(x-3)=0

  • At this point, to make the whole thing equal zero

          ⇒ either 'x+3' or 'x-3' equals zero

              ⇒ must find 'x' that satisify either equation

                    x-3=0\\x=3\\\\x+3=0\\x=-3

<u>Let's find the corresponding f(x) to each x-value</u>

  f(3) = -2(3)+12=-6+12 = 6\\\\f(-3) = -2(-3) + 12=6+12=18

<u>Therefore the solutions are (3,6) and (-3,18)</u>

<u />

<u>Answer: (3,6), (-3,18)</u>

<u></u>

Hope that helps!

#LearnwithBrainly    

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If you are wondering what happened to the 1, for any constant C, d/dx(C)=0.
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