Question

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?

$2$

$4$

$5$

$6$

$12$

Video solution:

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Written solution:

There are $2! = 2$ ways to place the two boys at the two ends. There are $3! = 6$ ways to arrange the three girls in the middle seats.

Thus the total number of arrangements is $2\cdot6=12$ .

Thus, E is the correct answer.

2015 AMC 8 Problem 4

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Problem 4 in Other Years