What type of counting problem is this?
A special safe lets you choose from 5 symbols for a 3-symbol-long pass code. You may enter a symbol any number of times. How many potential pass codes are there?
Permutation without repetition
Permutation with repetition
Combination with repetition
Combination without repetition
Answers
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Step-by-step explanation:
Permutation without repetition
- In our school
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Answer: It is an example of Combination with repetition.
Permutation: An arrangement of things in a certain sequence is what we refer to as a permutation. The constituents or components of sets are presented in this section in a sequential or chronological fashion. For instance, the number of possible permutations for the set A=1,6 is 2, such as "1,6," "6,1." As can be seen, there is no alternative possible configuration for the components that make up set A.
Combination: A coming together or merging of several parts or characteristics in which each of the constituent parts or traits retains its unique identity.
Step-by-step explanation:
Step 1: Given
Three symbol passcode
There are 5 symbols present
Step 2: Total Number of potential passcode
- Since repetition is allowed
- Therefore each of the 5 characters can be used max 3 times
- Or There one character twice or and the second character ones
- There if code is like this " - - - " Then at first second and third place any of the 5 characters could be entered.
- Number of combination possible are 5 X 5 X 5 = 125
- Therefore It is an example of Combination with repetition.
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