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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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svetoff [14.1K]

Answer:

(a) Rule: Multiply the input (x) by 2 and add 5 to the result of the product

(b) y  =2x +5

Step-by-step explanation:

Given

The attached table

Solving (a): The rule of the table in words

First, we calculate the slope (m)

m = \frac{y_2 - y_1}{x_2 - x_1}

Using:

(x_1,y_1) =  (2,9)

(x_1,y_1) =  (10,25)

So, we have:

m = \frac{25 - 9}{10 - 2}

m = \frac{16}{8}

m=2

The equation is calculated using:

y - y_1 =m(x - x_1)

Using:

(x_1,y_1) = (6,17)

We have:

y - 17 =2(x - 6)

y - 17 =2x - 12

Make y the subject

y  =2x - 12+17

y  =2x +5

Hence, the rule is:

Multiply the input (x) by 2 and add 5 to the result of the product

(b): The rule, in algebra

As solved in (a), the rule is:

y  =2x +5

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