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Question: Answered & Verified by Expert
The sum of the four digit even numbers that can be formed with the digits $0,3,5,4$ with out repetition is
MathematicsPermutation CombinationAP EAMCETAP EAMCET 2018 (22 Apr Shift 1)
Options:
  • A 14684
  • B 43536
  • C 46526
  • D 52336
Solution:
1766 Upvotes Verified Answer
The correct answer is: 43536
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
$$
\begin{aligned}
& =3054+3504+5034+5304+3450 \\
& \quad+3540+4350+4530+5340+5430=43536
\end{aligned}
$$

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