self Maths Puzzle

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?

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self Other Question
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? A new flag is to be designed with seven vertical strips using some or all of the colours Blue, Red, Black, White and Yellow. No two adjacent strips should be of the same colour. The number of ways this can be done such that even numbered strips are of the same colour while two consecutive odd numbered strips are of the same colour while two consecutive off numbered strips have different colours is