If the letters of the word "TIRUPATI" are written down at random, then what is the probability that both Ts are <strong>ALWAYS</strong> consecutive ?
- A. \frac{1}{2}
- B. \frac{1}{4} ✓
- C. \frac{1}{7}
- D. \frac{1}{14}
Correct Answer: B. \frac{1}{4}
Explanation
The word TIRUPATI has 8 letters, with 'T' repeated twice and 'I' repeated twice. Total permutations = \frac{8!}{2!2!} = 10080. Treating the two 'T's as a single unit, we have 7 units. Permutations with 'T's together = \frac{7!}{2!} = 2520. The probability is \frac{2520}{10080} = \frac{1}{4}.
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