Question:
If 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
If 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
Updated On: Jul 6, 2022
- $ 10! \times 2$
- $10! $
- $ 9! \times 2$
- $ 11 ! \times 2$
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The Correct Option is C
Solution and Explanation
Since, out of eleven members, two members sit together, then the number of arrangements $= 9! \times 2$
($\because$ two members can sit in two ways.)
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Notes on permutations and combinations
Concepts Used:
Permutations and Combinations
Permutation:
Permutation is the method or the act of arranging members of a set into an order or a sequence.
- In the process of rearranging the numbers, subsets of sets are created to determine all possible arrangement sequences of a single data point.
- A permutation is used in many events of daily life. It is used for a list of data where the data order matters.
Combination:
Combination is the method of forming subsets by selecting data from a larger set in a way that the selection order does not matter.
- Combination refers to the combination of about n things taken k at a time without any repetition.
- The combination is used for a group of data where the order of data does not matter.