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Prime numbers, diophantine equations, diophantine approximations, analytic or algebraic number theory, arithmetic geometry, Galois theory, transcendental number theory, continued fractions

1 vote
1 answer
302 views

Integral solutions to $a_1 \times a_2 \times ... \times a_k = N$ [closed]

How many integral solutions are possible for the equation $a_1 \times a_2 \times \ldots \times a_k = N$ where each of $a_1, a_2, \ldots, a_k$ satisfy the property $0 \leq a_i \leq 9 $? The question i …
jigsawmnc's user avatar
  • 141
0 votes

How many matrices are possible for the given arrangement?

Perhaps this could help.
jigsawmnc's user avatar
  • 141
2 votes
3 answers
3k views

How many matrices are possible for the given arrangement?

Given m & n, we have to find out the number of possible matrices of order m*n with the property that A(i,j) can be either 0 or 1 and that no contiguous sub-matrix of both length > 1 & breadth > 1 shou …
jigsawmnc's user avatar
  • 141