The sum of the digits in the unit's place of all the 4 - digit numbers formed by using the numbers 3 ,…

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 :
  1. 18
  2. 36
  3. 108
  4. 432

Solution

 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

Asked in: JEE Main 2014 (09 Apr Online)

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