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A high security research lap requires the researchers to set a pass key sequence Pased on the scan of the five fingers of their left hands. When an employee first joins the lap, her fingers are scanned in an order of her choice, and then when she wants to re-enter the facility, she has to scan the five fingers in the same sequence
The lap authorities are considering some relaxations of the scan order requirements, since it is observed that some employees often get locked-out because they forget the sequence.
Q.
 
The lab has now decided to require six scans in the pass key sequence, where exactly one finger is scanned twice, and the other fingers are scanned exactly once, which can be done in any order. For example, a possible sequence is TIMTRL.
Suppose the lab allows a variation of the original sequence (of six inputs) so that input in the form of scanned sequence of six fingers is allowed to vary from the original sequence by one place for any of the fingers, as long as the finger originally scanned twice is scanned twice and other fingers are scanned once.
How many different sequences of scans are allowed if the original scan sequence is LRLTIM?
  • a)
    8
  • b)
    11
  • c)
    13
  • d)
    14
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
A high security research lap requires the researchers to set a pass ke...
Understanding the Problem:
The lab requires a pass key sequence of six scans, where exactly one finger is scanned twice, and the other fingers are scanned exactly once. The original sequence is LRLTIM, and the lab allows a variation where the scanned sequence can vary by one place for any finger, as long as the finger scanned twice is still scanned twice.

Calculating the Number of Allowed Sequences:
To find the number of different sequences allowed, we need to consider all possible variations from the original sequence LRLTIM. Since the finger scanned twice must remain scanned twice, we can consider moving each of the other fingers once.
We have six fingers in total, with one being scanned twice and the rest being scanned once. Therefore, we have 5 options for moving each of the fingers (excluding the one scanned twice).
So, the total number of allowed sequences is 5 variations for each of the 5 fingers, which gives us a total of 5 x 5 = 25 possible sequences.
However, we need to account for sequences that are the same as the original sequence or have more than one finger moved. Since we are allowed only one variation (moving one finger one place), we need to subtract these cases.
Subtracting the cases where more than one finger is moved or the sequence remains the same, we get 25 - 2 = 23 possible sequences.

Final Answer:
Therefore, the number of different sequences of scans allowed is 23, given the original sequence LRLTIM.
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A high security research lap requires the researchers to set a pass key sequence Pased on the scan of the five fingers of their left hands. When an employee first joins the lap, her fingers are scanned in an order of her choice, and then when she wants to re-enter the facility, she has to scan the five fingers in the same sequenceThe lap authorities are considering some relaxations of the scan order requirements, since it is observed that some employees often get locked-out because they forget the sequence.Q.The lab has now decided to require six scans in the pass key sequence, where exactly one finger is scanned twice, and the other fingers are scanned exactly once, which can be done in any order. For example, a possible sequence is TIMTRL.Suppose the lab allows a variation of the original sequence (of six inputs) so that input in the form of scanned sequence of six fingers is allowed to vary from the original sequence by one place for any of the fingers, as long as the finger originally scanned twice is scanned twice and other fingers are scanned once.How many different sequences of scans are allowed if the original scan sequence is LRLTIM?a)8b)11c)13d)14Correct answer is option 'C'. Can you explain this answer?
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A high security research lap requires the researchers to set a pass key sequence Pased on the scan of the five fingers of their left hands. When an employee first joins the lap, her fingers are scanned in an order of her choice, and then when she wants to re-enter the facility, she has to scan the five fingers in the same sequenceThe lap authorities are considering some relaxations of the scan order requirements, since it is observed that some employees often get locked-out because they forget the sequence.Q.The lab has now decided to require six scans in the pass key sequence, where exactly one finger is scanned twice, and the other fingers are scanned exactly once, which can be done in any order. For example, a possible sequence is TIMTRL.Suppose the lab allows a variation of the original sequence (of six inputs) so that input in the form of scanned sequence of six fingers is allowed to vary from the original sequence by one place for any of the fingers, as long as the finger originally scanned twice is scanned twice and other fingers are scanned once.How many different sequences of scans are allowed if the original scan sequence is LRLTIM?a)8b)11c)13d)14Correct answer is option 'C'. Can you explain this answer? for CAT 2025 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about A high security research lap requires the researchers to set a pass key sequence Pased on the scan of the five fingers of their left hands. When an employee first joins the lap, her fingers are scanned in an order of her choice, and then when she wants to re-enter the facility, she has to scan the five fingers in the same sequenceThe lap authorities are considering some relaxations of the scan order requirements, since it is observed that some employees often get locked-out because they forget the sequence.Q.The lab has now decided to require six scans in the pass key sequence, where exactly one finger is scanned twice, and the other fingers are scanned exactly once, which can be done in any order. For example, a possible sequence is TIMTRL.Suppose the lab allows a variation of the original sequence (of six inputs) so that input in the form of scanned sequence of six fingers is allowed to vary from the original sequence by one place for any of the fingers, as long as the finger originally scanned twice is scanned twice and other fingers are scanned once.How many different sequences of scans are allowed if the original scan sequence is LRLTIM?a)8b)11c)13d)14Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for CAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A high security research lap requires the researchers to set a pass key sequence Pased on the scan of the five fingers of their left hands. When an employee first joins the lap, her fingers are scanned in an order of her choice, and then when she wants to re-enter the facility, she has to scan the five fingers in the same sequenceThe lap authorities are considering some relaxations of the scan order requirements, since it is observed that some employees often get locked-out because they forget the sequence.Q.The lab has now decided to require six scans in the pass key sequence, where exactly one finger is scanned twice, and the other fingers are scanned exactly once, which can be done in any order. For example, a possible sequence is TIMTRL.Suppose the lab allows a variation of the original sequence (of six inputs) so that input in the form of scanned sequence of six fingers is allowed to vary from the original sequence by one place for any of the fingers, as long as the finger originally scanned twice is scanned twice and other fingers are scanned once.How many different sequences of scans are allowed if the original scan sequence is LRLTIM?a)8b)11c)13d)14Correct answer is option 'C'. Can you explain this answer?.
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For example, a possible sequence is TIMTRL.Suppose the lab allows a variation of the original sequence (of six inputs) so that input in the form of scanned sequence of six fingers is allowed to vary from the original sequence by one place for any of the fingers, as long as the finger originally scanned twice is scanned twice and other fingers are scanned once.How many different sequences of scans are allowed if the original scan sequence is LRLTIM?a)8b)11c)13d)14Correct answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of A high security research lap requires the researchers to set a pass key sequence Pased on the scan of the five fingers of their left hands. When an employee first joins the lap, her fingers are scanned in an order of her choice, and then when she wants to re-enter the facility, she has to scan the five fingers in the same sequenceThe lap authorities are considering some relaxations of the scan order requirements, since it is observed that some employees often get locked-out because they forget the sequence.Q.The lab has now decided to require six scans in the pass key sequence, where exactly one finger is scanned twice, and the other fingers are scanned exactly once, which can be done in any order. For example, a possible sequence is TIMTRL.Suppose the lab allows a variation of the original sequence (of six inputs) so that input in the form of scanned sequence of six fingers is allowed to vary from the original sequence by one place for any of the fingers, as long as the finger originally scanned twice is scanned twice and other fingers are scanned once.How many different sequences of scans are allowed if the original scan sequence is LRLTIM?a)8b)11c)13d)14Correct answer is option 'C'. Can you explain this answer?, a detailed solution for A high security research lap requires the researchers to set a pass key sequence Pased on the scan of the five fingers of their left hands. When an employee first joins the lap, her fingers are scanned in an order of her choice, and then when she wants to re-enter the facility, she has to scan the five fingers in the same sequenceThe lap authorities are considering some relaxations of the scan order requirements, since it is observed that some employees often get locked-out because they forget the sequence.Q.The lab has now decided to require six scans in the pass key sequence, where exactly one finger is scanned twice, and the other fingers are scanned exactly once, which can be done in any order. For example, a possible sequence is TIMTRL.Suppose the lab allows a variation of the original sequence (of six inputs) so that input in the form of scanned sequence of six fingers is allowed to vary from the original sequence by one place for any of the fingers, as long as the finger originally scanned twice is scanned twice and other fingers are scanned once.How many different sequences of scans are allowed if the original scan sequence is LRLTIM?a)8b)11c)13d)14Correct answer is option 'C'. Can you explain this answer? has been provided alongside types of A high security research lap requires the researchers to set a pass key sequence Pased on the scan of the five fingers of their left hands. When an employee first joins the lap, her fingers are scanned in an order of her choice, and then when she wants to re-enter the facility, she has to scan the five fingers in the same sequenceThe lap authorities are considering some relaxations of the scan order requirements, since it is observed that some employees often get locked-out because they forget the sequence.Q.The lab has now decided to require six scans in the pass key sequence, where exactly one finger is scanned twice, and the other fingers are scanned exactly once, which can be done in any order. For example, a possible sequence is TIMTRL.Suppose the lab allows a variation of the original sequence (of six inputs) so that input in the form of scanned sequence of six fingers is allowed to vary from the original sequence by one place for any of the fingers, as long as the finger originally scanned twice is scanned twice and other fingers are scanned once.How many different sequences of scans are allowed if the original scan sequence is LRLTIM?a)8b)11c)13d)14Correct answer is option 'C'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice A high security research lap requires the researchers to set a pass key sequence Pased on the scan of the five fingers of their left hands. When an employee first joins the lap, her fingers are scanned in an order of her choice, and then when she wants to re-enter the facility, she has to scan the five fingers in the same sequenceThe lap authorities are considering some relaxations of the scan order requirements, since it is observed that some employees often get locked-out because they forget the sequence.Q.The lab has now decided to require six scans in the pass key sequence, where exactly one finger is scanned twice, and the other fingers are scanned exactly once, which can be done in any order. For example, a possible sequence is TIMTRL.Suppose the lab allows a variation of the original sequence (of six inputs) so that input in the form of scanned sequence of six fingers is allowed to vary from the original sequence by one place for any of the fingers, as long as the finger originally scanned twice is scanned twice and other fingers are scanned once.How many different sequences of scans are allowed if the original scan sequence is LRLTIM?a)8b)11c)13d)14Correct answer is option 'C'. Can you explain this answer? tests, examples and also practice CAT tests.
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