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27 Jan 2020, 01:59
Kudos
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C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
25%
(medium)
Question Stats:
76% (01:46) correct
24%
(02:32)
wrong
based on 95
sessions
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Not Attempted Yet
Tennis balls are to be placed into 9 buckets so that each bucket contains at least one ball, at the request of detail- oriented players. At most, five of the buckets are to contain the same number of balls, and no two of the remaining buckets are to contain an equal number of balls. What is the least possible number of balls needed for the buckets?
A) 8
B) 14
C) 19
D) 25
E) 30
A) 8
B) 14
C) 19
D) 25
E) 30
27 Jan 2020, 05:41
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To minimize the number of tennis balls, then the buckets with equal numbers should each contain 1 ball. Then we have, according to the restrictions in the problem, this many balls in the nine buckets, using the smallest possible number for each bucket:
1, 1, 1, 1, 1, 2, 3, 4, 5
for a total of 19.
1, 1, 1, 1, 1, 2, 3, 4, 5
for a total of 19.
16 Aug 2022, 02:43
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