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2013 AMC 10A Problem 17

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2013 AMC 10A Problem 17AMC 10 Step by Step

Name: Date: September 13, 2026

Inclusion-Exclusion · difficulty 3 of 5 · about 5 min · position P16-20

Daphne is visited periodically by her three best friends: Alice, Beatrix, and Claire. Alice visits every third day, Beatrix visits every fourth day, and Claire visits every fifth day. All three friends visited Daphne yesterday. How many days of the next 365-day period will exactly two friends visit her?

A)
$48$
B)
$54$
C)
$60$
D)
$66$
E)
$72$

2013 AMC 10A Problem 17

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