assume i’m given a collection of four knowledge’s
let A = {1,2,3,4}
now what number of answers i will make such that the information redundancy in the entire 4 vertical , 4 horizontal and a couple of diagonal route is 0
instance
assume i’ve B = {1,2,3,4} now i’ve to make a 4×4 i.e n(B)x n(B) i.e cardinal quantity and replenish the field with knowledge such that the information redundancy is 0
here’s one conceivable answer
1 3 4 2
2 4 3 1
3 1 2 4
4 2 1 3
right here in the entire 4 horizontal tactics 4 vertical tactics and a couple of lengthy diagonal tactics the information isn’t repeated and completes an answer the place redundancy is lowered i.e. 0
now we could see some other situation the place there may be redundancy
1 2 3 4
2 1 4 3
3 4 1 2
4 3 2 1
right here despite the fact that the information are distinct in 4 horizontal and four vertical route however the knowledge are repeated alongside 2 diagonals
we all know for n =1 , its conceivable answer is 1
for two and three there is not any conceivable answer for lowered redundancy 0
now how are we able to know the conceivable answers the place the lowered redundancy is 0 for n=4
please assist