Study the following letter - sequence and answer the question.
S T P Q T S P T R P T S R P S T P T R P T M P T S
How many 'T's are there in the above sequence which are immediately preceded by 'P' but not immediately followed by 'S'?
Letter Sequence Pattern Identification
This solution explains how to analyze the provided letter sequence to count specific occurrences of the letter 'T' based on the letters immediately surrounding it.
Letter 'T' Pattern Conditions
The task is to find the number of times the letter 'T' appears in the sequence, satisfying two conditions simultaneously:
- The letter immediately preceding 'T' must be 'P'.
- The letter immediately following 'T' must NOT be 'S'.
Sequence Breakdown and Analysis
The given letter sequence is:
S T P Q T S P T R P T S R P S T P T R P T M P T S
To find the qualifying 'T's, we will examine each occurrence of 'T' within this sequence and check if it meets both the preceding and following letter conditions.
Final Count of Qualifying 'T's
Let's systematically check each 'T' in the sequence:
| Index | Character | Preceded By | Followed By | Preceded by 'P'? | Followed by 'S'? | Meets Criteria? |
|---|---|---|---|---|---|---|
| 1 | T | S | P | No | No | No |
| 4 | T | Q | S | No | Yes | No |
| 7 | T | P | R | Yes | No | Yes |
| 10 | T | P | S | Yes | Yes | No |
| 13 | T | R | P | No | No | No |
| 15 | T | S | P | No | No | No |
| 17 | T | P | R | Yes | No | Yes |
| 20 | T | P | M | Yes | No | Yes |
| 23 | T | P | S | Yes | Yes | No |
By carefully examining the sequence and applying the given conditions:
- The 'T' at index 7 (part of the subsequence 'P T R') meets the criteria.
- The 'T' at index 17 (part of the subsequence 'P T R') meets the criteria.
- The 'T' at index 20 (part of the subsequence 'P T M') meets the criteria.
The other occurrences of 'T' do not meet the conditions. Therefore, there are exactly 3 'T's in the sequence that are immediately preceded by 'P' but not immediately followed by 'S'.
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