JEE Mains · Maths · STD 11 - 6. permutation and combination
If all the words (with or without meaning) having five letters, formed using the letters of the word \(SMALL\) and arranged as in a dictionary; then the position of the word \(SMALL\) is :
- A \(52\)
- B \(58\)
- C \(46\)
- D \(59\)
Answer & Solution
Correct Answer
(B) \(58\)
Step-by-step Solution
Detailed explanation
\(A\,LL\,MS\) \(A\,(LL\,MS)\) \( \to \frac{{4!}}{{2!}} = \frac{{24}}{2} = 12\) \(L\,(AL\,MS)\) \( \to 4! = 24\) \(M\,(ALLS)\) \(\frac{{4!}}{{2!}} = \frac{{24}}{2} = 12\) \(SA(MLL)\) \( \to \frac{{3!}}{{2!}} = 3\) \(SL\,(ALM)\) \( \to 3! = 6\) Total word \(=12+24+12+3+6=57\)…
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