JEE Main 2016MathematicsPermutation CombinationHardMCQ

JEE Main 2016 — Permutation Combination Question with Solution

JEE Main 2016 (03 Apr)

Question

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 

Choose an option

Show full solutionCorrect option: B
Correct answer
B58th

Step-by-step explanation

SMALL
Total number of words formed would be 5!2!=60
When arranged as per dictionary. The words starting from A

A- - - -4!2!=12

The words starting from L

L- - - - = 4!=24

The words starting from M

M- - - - =4!2!=12

The words starting from S

S A- - - =3!2!=3

S L- - - 3!=6
S M A L L =1
∴ Rank would be 12 + 24 + 12 + 3 + 6 + 1 = 58

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About this question

This is a previous-year question from JEE Main 2016, covering the Permutation Combination chapter of Mathematics. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.