contestada

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?

Respuesta :

Answer:

96 ways

Step-by-step explanation:

LetĀ“s call flags of countries from Africa as Ā Aā‚, Ā Aā‚‚, Aā‚ƒ, Aā‚„, and from Europe as Ā Eā‚, Eā‚‚, Eā‚ƒ and Eā‚„

We have to display the flags always beginning with one flag from Africa letĀ“s take Aā‚

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

4*3*2*1 Ā = 24

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

4*24 = 96 Ā possibilities

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