How many different matrices of unequal elements can be made by having the first 6 positive integer as element.
Assuming that all 6 elements have to be used, there are 6 elements in the matrix.
So you can have these possibilities:-
1) 1 x 6
2) 2 x 3
3) 3 x 2
4) 6 x 1
In each matrix you have to fill 6 unique elements. This can be done in 6! ways.
So total number of matrices = 4*6! = 4*720 = 2880
So you can have these possibilities:-
1) 1 x 6
2) 2 x 3
3) 3 x 2
4) 6 x 1
In each matrix you have to fill 6 unique elements. This can be done in 6! ways.
So total number of matrices = 4*6! = 4*720 = 2880