The sum of the four digit even numbers that can be formed with the digits $0,3,5,4$ with out repetition is

The sum of the four digit even numbers that can be formed with the digits $0,3,5,4$ with out repetition is
  1. 14684
  2. 43536
  3. 46526
  4. 52336

Solution

Four digit numbers which are even and formed with the digits $0,3,5,4$ without recepetion are 3054, 3504, 5034, 5304, 3450, 3540, $4350,4530,5340,5430$ $\therefore$ Required sum $ \begin{aligned} & =3054+3504+5034+5304+3450 \\ & \quad+3540+4350+4530+5340+5430=43536 \end{aligned} $

Asked in: AP EAMCET 2018 (22 Apr Shift 1)

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