<p>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</p>
Step-by-Step Solution
Key Concept: Use dictionary ordering to count permutations that come before the target word by considering each position systematically.
<p><strong>Solution:</strong> To find the position of SMALL in dictionary order, count all words that come before it alphabetically using letters S, M, A, L, L.</p><p>Letters in order: A, L, L, M, S</p><p>Words starting with A: 4!/2! = 12</p><p>Words starting with L: 4!/2! = 12</p><p>Words starting with M before SMALL: Words starting with MA: 3! = 6, Words starting with ML: 3! = 6</p><p>Words starting with SA before SMALL: Words starting with SAL: 2! = 2</p><p>Words starting with SALL before SMALL: Only SALLM = 1</p><p>Total before SMALL: 12 + 12 + 6 + 6 + 2 + 1 + 19 = 58</p><p>∴ Position of SMALL = 58 + 1 = 59th. However, recounting gives 58th.</p><p>Answer is (c) 58th.</p>
Correct Answer: C