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2018 AMC 10B Problem 18

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2018 AMC 10B Problem 18AMC 10 Step by Step

Name: Date: September 13, 2026

Arrangements with Restrictions · difficulty 4 of 5 · about 6 min · position P16-20

Three young brother-sister pairs from different families need to take a trip in a van. These six children will occupy the second and third rows in the van, each of which has three seats. To avoid disruptions, siblings may not sit right next to each other in the same row, and no child may sit directly in front of his or her sibling. How many seating arrangements are possible for this trip?

A)
$60$
B)
$72$
C)
$92$
D)
$96$
E)
$120$

2018 AMC 10B Problem 18

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