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Directions: Select a single answer choice.
Q.A manager is forming a 6-person team to work on a certain project. From the 11 candidates available for the team, the manager has already chosen 3 to be on the team. In selecting the other 3 team members, how many different combinations of 3 of the remaining candidates does the manager have to choose from?
- a)6
- b)24
- c)56
- d)120
- e)462
Correct answer is option 'C'. Can you explain this answer?
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Directions: Select a single answer choice.Q.A manager is forming a 6-...
Question:
A manager is forming a 6-person team to work on a certain project. From the 11 candidates available for the team, the manager has already chosen 3 to be on the team. In selecting the other 3 team members, how many different combinations of 3 of the remaining candidates does the manager have to choose from?
Answer:
To solve this problem, we need to determine the number of different combinations of 3 candidates that the manager can choose from the remaining 8 candidates (11 candidates - 3 candidates already chosen).
Using the Combination Formula:
The number of combinations of selecting k items from a set of n items is given by the combination formula:
C(n, k) = n! / (k!(n-k)!), where n! denotes the factorial of n.
In this case, we need to find C(8, 3) which represents the number of combinations of selecting 3 candidates from a set of 8 candidates.
Calculating the Combination:
Using the combination formula, we can calculate C(8, 3) as follows:
C(8, 3) = 8! / (3!(8-3)!)
= (8 * 7 * 6 * 5 * 4 * 3!)/(3! * 5 * 4 * 3!)
= 8 * 7 * 6 / (3 * 2 * 1)
= 56
Therefore, the manager has 56 different combinations of 3 of the remaining candidates to choose from. Hence, the correct answer is option 'C'.
A manager is forming a 6-person team to work on a certain project. From the 11 candidates available for the team, the manager has already chosen 3 to be on the team. In selecting the other 3 team members, how many different combinations of 3 of the remaining candidates does the manager have to choose from?
Answer:
To solve this problem, we need to determine the number of different combinations of 3 candidates that the manager can choose from the remaining 8 candidates (11 candidates - 3 candidates already chosen).
Using the Combination Formula:
The number of combinations of selecting k items from a set of n items is given by the combination formula:
C(n, k) = n! / (k!(n-k)!), where n! denotes the factorial of n.
In this case, we need to find C(8, 3) which represents the number of combinations of selecting 3 candidates from a set of 8 candidates.
Calculating the Combination:
Using the combination formula, we can calculate C(8, 3) as follows:
C(8, 3) = 8! / (3!(8-3)!)
= (8 * 7 * 6 * 5 * 4 * 3!)/(3! * 5 * 4 * 3!)
= 8 * 7 * 6 / (3 * 2 * 1)
= 56
Therefore, the manager has 56 different combinations of 3 of the remaining candidates to choose from. Hence, the correct answer is option 'C'.
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Community Answer
Directions: Select a single answer choice.Q.A manager is forming a 6-...
To determine the number of different combinations of 3 of the remaining candidates that the manager has to choose from, you first have to know the number of remaining candidates. Since you know that the manager has already chosen 3 of the 11 candidates to be on the team, it is easy to see that there are 8 remaining candidates. Now you need to count how many different combinations of 3 objects can be chosen from a group of 8 objects.
The correct answer is Choice C.
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Directions: Select a single answer choice.Q.A manager is forming a 6-person team to work on a certain project. From the 11 candidates available for the team, the manager has already chosen 3 to be on the team. In selecting the other 3 team members, how many different combinations of 3 of the remaining candidates does the manager have to choose from?a)6b)24c)56d)120e)462Correct answer is option 'C'. Can you explain this answer?
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Directions: Select a single answer choice.Q.A manager is forming a 6-person team to work on a certain project. From the 11 candidates available for the team, the manager has already chosen 3 to be on the team. In selecting the other 3 team members, how many different combinations of 3 of the remaining candidates does the manager have to choose from?a)6b)24c)56d)120e)462Correct answer is option 'C'. Can you explain this answer? for GRE 2024 is part of GRE preparation. The Question and answers have been prepared according to the GRE exam syllabus. Information about Directions: Select a single answer choice.Q.A manager is forming a 6-person team to work on a certain project. From the 11 candidates available for the team, the manager has already chosen 3 to be on the team. In selecting the other 3 team members, how many different combinations of 3 of the remaining candidates does the manager have to choose from?a)6b)24c)56d)120e)462Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for GRE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Directions: Select a single answer choice.Q.A manager is forming a 6-person team to work on a certain project. From the 11 candidates available for the team, the manager has already chosen 3 to be on the team. In selecting the other 3 team members, how many different combinations of 3 of the remaining candidates does the manager have to choose from?a)6b)24c)56d)120e)462Correct answer is option 'C'. Can you explain this answer?.
Directions: Select a single answer choice.Q.A manager is forming a 6-person team to work on a certain project. From the 11 candidates available for the team, the manager has already chosen 3 to be on the team. In selecting the other 3 team members, how many different combinations of 3 of the remaining candidates does the manager have to choose from?a)6b)24c)56d)120e)462Correct answer is option 'C'. Can you explain this answer? for GRE 2024 is part of GRE preparation. The Question and answers have been prepared according to the GRE exam syllabus. Information about Directions: Select a single answer choice.Q.A manager is forming a 6-person team to work on a certain project. From the 11 candidates available for the team, the manager has already chosen 3 to be on the team. In selecting the other 3 team members, how many different combinations of 3 of the remaining candidates does the manager have to choose from?a)6b)24c)56d)120e)462Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for GRE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Directions: Select a single answer choice.Q.A manager is forming a 6-person team to work on a certain project. From the 11 candidates available for the team, the manager has already chosen 3 to be on the team. In selecting the other 3 team members, how many different combinations of 3 of the remaining candidates does the manager have to choose from?a)6b)24c)56d)120e)462Correct answer is option 'C'. Can you explain this answer?.
Solutions for Directions: Select a single answer choice.Q.A manager is forming a 6-person team to work on a certain project. From the 11 candidates available for the team, the manager has already chosen 3 to be on the team. In selecting the other 3 team members, how many different combinations of 3 of the remaining candidates does the manager have to choose from?a)6b)24c)56d)120e)462Correct answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for GRE.
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Directions: Select a single answer choice.Q.A manager is forming a 6-person team to work on a certain project. From the 11 candidates available for the team, the manager has already chosen 3 to be on the team. In selecting the other 3 team members, how many different combinations of 3 of the remaining candidates does the manager have to choose from?a)6b)24c)56d)120e)462Correct answer is option 'C'. Can you explain this answer?, a detailed solution for Directions: Select a single answer choice.Q.A manager is forming a 6-person team to work on a certain project. From the 11 candidates available for the team, the manager has already chosen 3 to be on the team. In selecting the other 3 team members, how many different combinations of 3 of the remaining candidates does the manager have to choose from?a)6b)24c)56d)120e)462Correct answer is option 'C'. Can you explain this answer? has been provided alongside types of Directions: Select a single answer choice.Q.A manager is forming a 6-person team to work on a certain project. From the 11 candidates available for the team, the manager has already chosen 3 to be on the team. In selecting the other 3 team members, how many different combinations of 3 of the remaining candidates does the manager have to choose from?a)6b)24c)56d)120e)462Correct answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
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