JEE Main 2016 · 3 Apr · Shift 1 · Mathematics Q66

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MathematicsSingle correct+4 / -1Question 66 of 90

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 :

^{\text{th}}

^{\text{th}}

^{\text{nd}}

^{\text{th}}

Answer and worked solution

Official answer: D

The letters in order are A, L, L, M, S.

Starting with A: $\frac{4!}{2!}=12$ ; with L: $4!=24$ ; with M: 12. That is 48.
SA: 3 words; SL: 6 words. That brings it to 57.

SMALL is the first word beginning SM, so it is 58th.

Topics:Permutations

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JEE Main 2016 · 3 Apr · Shift 1, Mathematics question 66