2015 AMC 8

Complete problem set with solutions and individual problem pages

Problem 4 Easy

The Blue Bird High 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?

  • A.

    2

  • B.

    4

  • C.

    5

  • D.

    6

  • E.

    12

Answer:E

There are 2! = 2 ways to order the boys on the ends, and there are 3!=6 ways to order the girls in the middle. We get the answer to be 2 \cdot 6 = \boxed{\textbf{(E) }12}.

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