At an international conference, flags from 8 different countries will be displayed. Of these flags, 4 are from the continent of Africa and 4 flags are from the continent of Europe. The flags will be displayed in a row, alternating between continents. A flag from Africa will be in the first position. In how many ways can the flags be displayed?

Question

Mathematics

Zachariah Black

20 August, 03:55

At an international conference, flags from 8 different countries will be displayed. Of these flags, 4 are from the continent of Africa and 4 flags are from the continent of Europe. The flags will be displayed in a row, alternating between continents. A flag from Africa will be in the first position. In how many ways can the flags be displayed?

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Answers (1)

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Brenna Coleman · Answer 1

96 ways

Step-by-step explanation:

Let's call flags of countries from Africa as A₁, A₂, A₃, A₄, and from Europe as E₁, E₂, E₃ and E₄

We have to display the flags always beginning with one flag from Africa let's take A₁

For that flag, we have 4! possibilities Then 4! is:

4*3*2*1 = 24

As we have 4 different Flags from Africa, we will have

4*24 = 96 possibilities