q1. in how many ways can a team of 11 players be selcted out of 16 including 2 particular players.?
q2. in how many ways can a team of 11 players be selcted out of 16 excluding 2 particular players.?
Combination and permutation questions
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- kmittal82
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q1)
Since 2 players must be there, you effectively have to chose 9 players out of 14
This can be done in 14C9 ways
q2)
Total number of ways to select 11 players out of 16 = 16C11
Total number of ways to select a team including 2 particular players (as found in q1) = 14C9
Thus, total number EXCLUDING two particular players = 16C11 - 14C9
OA please?
Since 2 players must be there, you effectively have to chose 9 players out of 14
This can be done in 14C9 ways
q2)
Total number of ways to select 11 players out of 16 = 16C11
Total number of ways to select a team including 2 particular players (as found in q1) = 14C9
Thus, total number EXCLUDING two particular players = 16C11 - 14C9
OA please?
- goyalsau
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Can you please explain why it will not be 14C11kmittal82 wrote:q1)
Total number of ways to select 11 players out of 16 = 16C11
Total number of ways to select a team including 2 particular players (as found in q1) = 14C9
Thus, total number EXCLUDING two particular players = 16C11 - 14C9
OA please?
Saurabh Goyal
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- sanju09
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good reasoning in Question 1, kmittal82, but this is missing in Question 2, I'm sorry. When 11 players be selcted out of 16 excluding 2 particular players, you effectively have to chose 11 players out of 14kmittal82 wrote:q1)
Since 2 players must be there, you effectively have to chose 9 players out of 14
This can be done in 14C9 ways
q2)
Total number of ways to select 11 players out of 16 = 16C11
Total number of ways to select a team including 2 particular players (as found in q1) = 14C9
Thus, total number EXCLUDING two particular players = 16C11 - 14C9
OA please?
This can be done in 14C11 ways, in your kind words
The mind is everything. What you think you become. -Lord Buddha
Sanjeev K Saxena
Quantitative Instructor
The Princeton Review - Manya Abroad
Lucknow-226001
www.manyagroup.com
Sanjeev K Saxena
Quantitative Instructor
The Princeton Review - Manya Abroad
Lucknow-226001
www.manyagroup.com
- kmittal82
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right you are sanju, my bad... but then what did I just find? :roll:sanju09 wrote:good reasoning in Question 1, kmittal82, but this is missing in Question 2, I'm sorry. When 11 players be selcted out of 16 excluding 2 particular players, you effectively have to chose 11 players out of 14kmittal82 wrote:q1)
Since 2 players must be there, you effectively have to chose 9 players out of 14
This can be done in 14C9 ways
q2)
Total number of ways to select 11 players out of 16 = 16C11
Total number of ways to select a team including 2 particular players (as found in q1) = 14C9
Thus, total number EXCLUDING two particular players = 16C11 - 14C9
OA please?
This can be done in 14C11 ways, in your kind words
- sanju09
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Just the same answer brainy, but I found your way analogous to using my right hand for picking penny out of the left-hand cross pocket of the jeans that I'm having on now.kmittal82 wrote:right you are sanju, my bad... but then what did I just find? :roll:sanju09 wrote:good reasoning in Question 1, kmittal82, but this is missing in Question 2, I'm sorry. When 11 players be selcted out of 16 excluding 2 particular players, you effectively have to chose 11 players out of 14kmittal82 wrote:q1)
Since 2 players must be there, you effectively have to chose 9 players out of 14
This can be done in 14C9 ways
q2)
Total number of ways to select 11 players out of 16 = 16C11
Total number of ways to select a team including 2 particular players (as found in q1) = 14C9
Thus, total number EXCLUDING two particular players = 16C11 - 14C9
OA please?
This can be done in 14C11 ways, in your kind words
The mind is everything. What you think you become. -Lord Buddha
Sanjeev K Saxena
Quantitative Instructor
The Princeton Review - Manya Abroad
Lucknow-226001
www.manyagroup.com
Sanjeev K Saxena
Quantitative Instructor
The Princeton Review - Manya Abroad
Lucknow-226001
www.manyagroup.com
- kmittal82
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16C11 - 14C9 = 2366sanju09 wrote:Just the same answer brainy, but I found your way analogous to using my right hand for picking penny out of the left-hand cross pocket of the jeans that I'm having on now.kmittal82 wrote:right you are sanju, my bad... but then what did I just find? :roll:sanju09 wrote:good reasoning in Question 1, kmittal82, but this is missing in Question 2, I'm sorry. When 11 players be selcted out of 16 excluding 2 particular players, you effectively have to chose 11 players out of 14kmittal82 wrote:q1)
Since 2 players must be there, you effectively have to chose 9 players out of 14
This can be done in 14C9 ways
q2)
Total number of ways to select 11 players out of 16 = 16C11
Total number of ways to select a team including 2 particular players (as found in q1) = 14C9
Thus, total number EXCLUDING two particular players = 16C11 - 14C9
OA please?
This can be done in 14C11 ways, in your kind words
14C11 = 364