MathDB
Problems
Contests
National and Regional Contests
Sweden Contests
Swedish Mathematical Competition
2011 Swedish Mathematical Competition
4
4
Part of
2011 Swedish Mathematical Competition
Problems
(1)
43 lines between A and B, 29 lines between B and C
Source: 2011 Swedish Mathematical Competition p4
4/30/2021
Towns
A
A
A
,
B
B
B
and
C
C
C
are connected with a telecommunications cable. If you for example want to send a message from
A
A
A
to
B
B
B
is assigned to either a direct line between
A
A
A
and
B
B
B
, or if necessary, a line via
C
C
C
. There are
43
43
43
lines between
A
A
A
and
B
B
B
, including those who go through
C
C
C
, and
29
29
29
lines between
B
B
B
and
C
C
C
, including those who go via
A
A
A
. How many lines, are there between
A
A
A
and
C
C
C
(including those who go via
B
B
B
)?
combinatorics