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Ella and Amy are planning trips to
ten countries this year. There are
12 countries they would like to
visit. They are deciding which
countries to skip, how many ways
are there?

Sagot :

Akposevictoridn

Applying the combination formula, the number of ways there are is: 66.

What is Combination?

Combination is a technique in maths used in selecting objects from a group of objects in a way that the order in which they are selected does not matter.

Combination formula is given as:

[tex]nC_r = \frac{n!}{r(n - r)!}[/tex]

Given the following:

  • n = 12
  • r = 2

Plug in the values:

[tex]12C_2 = \frac{12!}{2(12 - 2)!}\\\\12C_2 = \frac{12!}{2(10)!}\\\\12C_2 = \frac{12 \times 11}{2(1)}[/tex]

[tex]\mathbf{12C_2 = 66}[/tex]

Therefore, applying the combination formula, the number of ways there are is: 66.

Learn more about combination on:

https://brainly.com/question/25821700

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