self Maths Puzzle

How many six digit numbers are possible by using the digits 1, 2 , 3, 4, 5, 6, 7 without repetition such that they are divisible by 12?

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self Other Question

How many numbers greater than a billion but less than 1010 can be formed such that the sum of the digits is equal to 3? All the possible seven digit numbers are formed by using the digits 1, 2, ........., 7 without repetition. These numbers are then arranged in ascending order. What will be the 2884th number in the given order?