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2012 AMC 10B Problem 11

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2012 AMC 10B Problem 11AMC 10 Step by Step

Name: Date: September 13, 2026

Arrangements with Restrictions · difficulty 2 of 5 · about 3 min · position P11-15

A dessert chef prepares the dessert for every day of a week starting with Sunday. The dessert each day is either cake, pie, ice cream, or pudding. The same dessert may not be served two days in a row. There must be cake on Friday because of a birthday. How many different dessert menus for the week are possible?

A)
$729$
B)
$972$
C)
$1024$
D)
$2187$
E)
$2304$

2012 AMC 10B Problem 11

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