0 represents a male dog, 1 represents a female dog.
Permutaions
0000,0001,0010,0011,0100,0101,0110,0111,1000,1001,1010,1011,1100,1101,1110,1111
Combination corresponding to each permutation above
0000,1000,1000,1100,1000,1100,1100,1110,1000,1100,1100,1110,1100,1110,1110,1111
Frequency of each combination
0000 1
1000 4
1100 6
1110 4
1111 1
Most likely combination
1100
i.e. 2 females and 2 males