Question:
Given $4$ flags of different colours, how many different signals can be generated, if a signal requires the use of $2$ flags one below the other?
Given $4$ flags of different colours, how many different signals can be generated, if a signal requires the use of $2$ flags one below the other?
Updated On: Jul 6, 2022
- $12$
- $13$
- $14$
- $15$
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The Correct Option is A
Solution and Explanation
There will be as many signals as there are ways j of filling in $2$ vacant places $\boxminus$, in succession by the $4$ flags of different colours. Hence, by the multiplication j principle, the required number of signals $= 4 \times 3 = 12$.
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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.