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k: 5
n: 12
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Difficulty:
25%
(medium)
Question Stats:
82% (02:22) correct
18%
(02:44)
wrong
based on 1495
sessions
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A committee of k members was formed from the n members of a certain company's board of directors. Each member of the committee sent exactly one email summarizing his or her perspective on the committee's findings to each board member who was not a member of the committee, and to no one else. The total number of these email summaries sent was 35.
Select values for k and for n that are jointly consistent with the given information. Make only two selections, one in each column.
Select values for k and for n that are jointly consistent with the given information. Make only two selections, one in each column.
| k | n | |
| 4 | ||
| 5 | ||
| 6 | ||
| 10 | ||
| 12 |
ShowHide Answer
Official Answer
k: 5
n: 12
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Given: A committee of k members was formed from the n members of a certain company's board of directors. Each member of the committee sent exactly one email summarizing his or her perspective on the committee's findings to each board member who was not a member of the committee, and to no one else. The total number of these email summaries sent was 35.
Asked: Select values for k and for n that are jointly consistent with the given information. Make only two selections, one in each column.
Total number of email summaries = k(n-k) = 35 = 5*7
If k = 5; n = 12; k(n-k) = 5*7 = 35
k:
4
5
6
10
12
n:
4
5
6
10
12
Asked: Select values for k and for n that are jointly consistent with the given information. Make only two selections, one in each column.
Total number of email summaries = k(n-k) = 35 = 5*7
If k = 5; n = 12; k(n-k) = 5*7 = 35
k:
4
5
6
10
12
n:
4
5
6
10
12
