Question:
Five people are distributed in four identical rooms. A room can also contain zero people. Find the number of ways to distribute them.
Five people are distributed in four identical rooms. A room can also contain zero people. Find the number of ways to distribute them.
Updated On: Mar 20, 2025
- 47
- 53
- 43
- 51
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The Correct Option is D
Solution and Explanation
The correct option is (D): 51
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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.