Binary random array with upper and lower limit on number of ones in each row?

I am trying to generate a binary matrix of numbers with m rows and n columns. Each row must sum to <=p and >=q and each column must have an even spread (if permitted) or similar to rows <=j, >=k a min and max range.

import numpy as np
def randbin(M,N,P):  
    return np.random.choice([0, 1], size=(M,N), p=[P, 1-P])


MyMatrix = randbin(200,7,0.5)

However this gives me some rows with all zeros and rows with all ones. Is there an efficient way of achieving this solution?