Question:
Six identical coins are arranged in a row. The number of ways in which the number of tails is equal to the number of heads is
Six identical coins are arranged in a row. The number of ways in which the number of tails is equal to the number of heads is
Updated On: Apr 15, 2024
- $20$
- $9$
- $120$
- $40$
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The Correct Option is A
Solution and Explanation
Required number of ways $=\frac{6!}{3!\,3!}=\frac{720}{6\times6}=20$
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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.