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In a certain company the board of directors have been given the respo
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31 Oct 2024, 00:14
31 Oct 2024, 00:14
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Question Stats:
61% (01:12) correct
38% (01:57) wrong based on 13 sessions
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In a certain company the board of directors have been given the responsibility to nominate 3 key positions (one director and two identical positions in the senior management). The board will select 1 of 10 candidates eligible to fill the position of director and 2 of 8 candidates eligible to fill 2 identical positions in the senior management. How many different sets of 3 candidates are there to fill 3 key positions assuming that no candidate is eligible for both director and senior management?
A. 80
B. 140
C. 280
D. 560
E. 600
A. 80
B. 140
C. 280
D. 560
E. 600
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In a certain company the board of directors have been given the respo
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18 Dec 2024, 14:14
18 Dec 2024, 14:14
Expert Reply
The board of directors of a certain company needs to select 1 out of 10 candidates for the Director position \& 2 of the 8 candidates for the 2 identical positions of senior management; we need to find the number of ways 3 positions can be filled.
Since a director is to be selected out of 10 candidates \& for the selection of 2 senior management positions there are 8 candidates, the number of ways in which the selection can be made is $\({ }^{10} \mathrm{C}_1 \times{ }^8 \mathrm{C}_2=10 \times 28=280\)
Hence the answer is (C).
Since a director is to be selected out of 10 candidates \& for the selection of 2 senior management positions there are 8 candidates, the number of ways in which the selection can be made is $\({ }^{10} \mathrm{C}_1 \times{ }^8 \mathrm{C}_2=10 \times 28=280\)
Hence the answer is (C).
gmatclubot
In a certain company the board of directors have been given the respo [#permalink]
18 Dec 2024, 14:14
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