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2013 AMC 10B Problem 22

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2013 AMC 10B Problem 22AMC 10 Step by Step

Name: Date: September 13, 2026

Arrangements with Restrictions · difficulty 4 of 5 · about 7 min · position P21-25

The regular octagon $ABCDEFGH$ has its center at $J$ . Each of the vertices and the center are to be associated with one of the digits $1$ through $9$ , with each digit used once, in such a way that the sums of the numbers on the lines $AJE$ , $BJF$ , $CJG$ , and $DJH$ are all equal. In how many ways can this be done?

A)
$384$
B)
$576$
C)
$1152$
D)
$1680$
E)
$3456$

2013 AMC 10B Problem 22

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