JEE Main 2014MathematicsPermutation CombinationMediumMCQ

JEE Main 2014 — Permutation Combination Question with Solution

JEE Main 2014 (09 Apr Online)

Question

The sum of the digits in the unit's place of all the 4 - digit numbers formed by using the numbers 3, 4, 5 and 6, without repetition is :

Choose an option

Show full solutionCorrect option: C
Correct answer
C108

Step-by-step explanation

 By fixing one digit at unit place we can form toal number without repetition is 3!    

Sum of digits = 3! . 6 + 5 + 4 + 3 

=618=108 ∵n!=n.n-1...3.2.1

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About this question

This is a previous-year question from JEE Main 2014, 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.