The lengths of the sides of hexagon H are $$\(1,2,3,4,5\)$$, and 6 . If no two consecutive sides of H have consecutive-integer lengths, what is the maximum sum of the lengths of three consecutive sides of H?

A.
13
B.
14
C.
15
D.
none of above
Mathematics
Competition
Math League
Exam No:2020 First Round Grades 8-9 Year:2020 Question No:19

Answer:

B

Knowledge points:

G8-9 - Combinatorics - Set Theory (Inclusion-Exclusion Principle)

Solution:

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