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The Centerville Middle School chess team consists of two boys and three girls. A photographer wants to take a picture of the team to appear in the local newspaper. She decides to have them sit in a row with a boy at each end and the three girls in the middle. How many such arrangements are possible?

Respuesta :

konrad509

[tex] \underbrace{2\cdot3\cdot2\cdot1\cdot1}_{\text{BGGGB}}=12 [/tex]

12 arrangements

Or different approach.
Since boys and girls have different places in a row they can take (boys at ends, girls in the middle), we can simply multiply the numbers of ways the boys can take their places by the the number of ways the girls can their places. And that is [tex]2!\cdot3!=2\cdot6=12[/tex]

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