A committee of 20 members sits around a table. Find the number of arrangements that have the president and the vice president together.
Answers
If eleven members of a committee sit at a round table so that the President and Secretary always sit together
If eleven members of a committee sit at a round table so that the President and Secretary always sit togetherIf eleven members of a committee sit at a round table so that the President and Secretary always sit together, then the number of arrangements is
A) 10 ! ×2
A) 10 ! ×2B) 10!
A) 10 ! ×2B) 10!C) 9! ×2
A) 10 ! ×2B) 10!C) 9! ×2D) None of these
A) 10 ! ×2B) 10!C) 9! ×2D) None of these1
A) 10 ! ×2B) 10!C) 9! ×2D) None of these1Answers (1)
A) 10 ! ×2B) 10!C) 9! ×2D) None of these1Answers (1)View All Answers (1)
A) 10 ! ×2B) 10!C) 9! ×2D) None of these1Answers (1)View All Answers (1)H Himanshu Meshram
A) 10 ! ×2B) 10!C) 9! ×2D) None of these1Answers (1)View All Answers (1)H Himanshu MeshramAnswered 12 months ago
A) 10 ! ×2B) 10!C) 9! ×2D) None of these1Answers (1)View All Answers (1)H Himanshu MeshramAnswered 12 months agoCircular Permutations (n-1)!
A) 10 ! ×2B) 10!C) 9! ×2D) None of these1Answers (1)View All Answers (1)H Himanshu MeshramAnswered 12 months agoCircular Permutations (n-1)!Treat President and Secretary as one unit,
A) 10 ! ×2B) 10!C) 9! ×2D) None of these1Answers (1)View All Answers (1)H Himanshu MeshramAnswered 12 months agoCircular Permutations (n-1)!Treat President and Secretary as one unit,Hence, (10-1)!=9!
A) 10 ! ×2B) 10!C) 9! ×2D) None of these1Answers (1)View All Answers (1)H Himanshu MeshramAnswered 12 months agoCircular Permutations (n-1)!Treat President and Secretary as one unit,Hence, (10-1)!=9!Now, President and Secretary can be seated as 2! ways
A) 10 ! ×2B) 10!C) 9! ×2D) None of these1Answers (1)View All Answers (1)H Himanshu MeshramAnswered 12 months agoCircular Permutations (n-1)!Treat President and Secretary as one unit,Hence, (10-1)!=9!Now, President and Secretary can be seated as 2! ways(C) is Correct answer
A) 10 ! ×2B) 10!C) 9! ×2D) None of these1Answers (1)View All Answers (1)H Himanshu MeshramAnswered 12 months agoCircular Permutations (n-1)!Treat President and Secretary as one unit,Hence, (10-1)!=9!Now, President and Secretary can be seated as 2! ways(C) is Correct answer
Step-by-step explanation:
Given A committee of 20 members sits around a table. Find the number of arrangements that have the president and the vice president together.
Assuming that President and Vice President are counted among 20 members of the committee according to the question.
So number of ways the President and Vice President sitting together will be 18! x 2 ways.
Circular permutations (n – 1)!
Treating President and Vice President as one unit. (19 – 1)! = 18!
Now there are 20 members. President and Vice President are treated as one since they are sitting together, but they can interchange their seats and so 2 is multiplied.
So it will be 18! x 2 ways
Reference link will be
https://brainly.in/question/7785827