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Putnam
1954 Putnam
B3
B3
Part of
1954 Putnam
Problems
(1)
Putnam 1954 B3
Source: Putnam 1954
7/17/2022
Let
[
a
1
,
b
1
]
,
…
,
[
a
n
,
b
n
]
[a_1 , b_1 ] , \ldots, [a_n ,b_n ]
[
a
1
,
b
1
]
,
…
,
[
a
n
,
b
n
]
be a collection of closed intervals such that any of these closed intervals have a point in common. Prove that there exists a point contained in every one of these intervals.
Putnam
interval
Intersection of set