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Q. The sum of all the four digit even numbers which can be formed by using the digits 0, 1, 2, 3, 4 and 5 if repetition of digits is allowed is :

Permutations and Combinations

Solution:

All the 4 digit even numbers, $5 \times 6 \times 6 \times 3=540$
Smallest Number $ 1000=\frac{540}{2}[1000+5554]=1769580$
largest Number $ 5554$