TS EAMCET · Maths · Permutation Combination
If all the letters of the word MOST are permuted and the words (with or without meaning) thus obtained are arranged in the dictionary order then the rank of the word STOM when counted from the rank of the word MOST, is
- A \(24\)
- B \(21\)
- C \(12\)
- D \(18\)
Answer & Solution
Correct Answer
(D) \(18\)
Step-by-step Solution
Detailed explanation
Alphabetical order of letters: M, O, S, T. Rank(MOST) = \(0 \times 3! + 0 \times 2! + 0 \times 1! + 0 \times 0! + 1 = 1\) Rank(STOM) = \(2 \times 3! + 2 \times 2! + 1 \times 1! + 0 \times 0! + 1 = 12 + 4 + 1 + 0 + 1 = 18\) Required rank = Rank(STOM) - Rank(MOST) + 1 =…
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