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05 Mar 2025, 01:30
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C
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Difficulty:
25%
(medium)
Question Stats:
79% (01:18) correct
21%
(01:35)
wrong
based on 85
sessions
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Date
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In a certain company the board of directors has been given the responsibility of nominating 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 the 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 more than one post?
A. 70
B. 140
C. 280
D. 560
E. 1120
A. 70
B. 140
C. 280
D. 560
E. 1120
05 Mar 2025, 01:35
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Director Selection = 10C1 = 10
Senior Management Position Selection = 8C2 = 28
Different sets of 3 to fill the positions = 10*28 = 280
Senior Management Position Selection = 8C2 = 28
Different sets of 3 to fill the positions = 10*28 = 280
Bunuel
In a certain company the board of directors has been given the responsibility of nominating 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 the 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 more than one post?
A. 70
B. 140
C. 280
D. 560
E. 1120
A. 70
B. 140
C. 280
D. 560
E. 1120
05 Mar 2025, 01:56
Kudos
Bookmarks
This question is very similar to one of the official questions
The board will select 1 of 10 candidates eligible to fill the position of director in 10C1 = 10 ways
2 of 8 candidates eligible to fill the 2 identical positions in the senior management = 8C2 = 28
i.e. Total Outcomes = 10*28 =280 280
Answer: Option C
Related Video:
The board will select 1 of 10 candidates eligible to fill the position of director in 10C1 = 10 ways
2 of 8 candidates eligible to fill the 2 identical positions in the senior management = 8C2 = 28
i.e. Total Outcomes = 10*28 =280 280
Answer: Option C
Related Video:
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Bunuel
In a certain company the board of directors has been given the responsibility of nominating 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 the 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 more than one post?
A. 70
B. 140
C. 280
D. 560
E. 1120
A. 70
B. 140
C. 280
D. 560
E. 1120
