SELECT cat, dog, bird, count(1) FROM animals WHERE master_id = 1 GROUP BY cat, dog, bird

animals = Animals.objects.filter(id=1).values('cat', 'dog', 'bird').annotate(ct=Count('cat'), dg=Count('dog'), br=Count('bird'))

Animals.objects.filter(
    master_id=1
).values('cat', 'dog', 'bird').annotate(
    ct=Count('id')
).order_by('cat', 'dog', 'bird')

<QuerySet [
    { 'cat': 0, 'dog': 2, 'bird': 1, 'ct': 1 },
    { 'cat': 0, 'dog': 3, 'bird': 3, 'ct': 4 },
    { 'cat': 1, 'dog': 0, 'bird': 0, 'ct': 2 },
    { 'cat': 2, 'dog': 2, 'bird': 1, 'ct': 5 },
]>