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The lab has n...

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The lab has now decided to require six scans in the passkey 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

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B

11

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C

13

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D

14

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Solution

The correct option is C 13
LRLTIM
RLLTIM
LRTLIM
LRLTMI
LLRTIM
LLRITM
LLRTMI
RLTLIM
RLLTMI
RLTLMI
LRLITM
LRTLMI
RLLITM

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