Query term aggregation to count occurence

Elastic Stack Elasticsearch
1

Hi,
I'm trying to create a query to count string and aggregate based on occurence but I can't figure out how. I have a collection of documents containing only a time field and string. Here's the simple mapping:

"document":
{ "time": {
        "format": "strict_date_optional_time||epoch_millis",
        "type": "date"
      },
  "name": {
            "index": "not_analyzed",
            "type": "string"
          }
}

The name can contains the same values once or more, I would like to know how many "names" are present once, how many are present twice and so on for every day. Is it possible with only one query?

I tried with this query:

{
  "aggs":{
    "3":{
      "terms":{
        "field":"name"
      },
      "aggs":{
        "2":{
          "date_histogram":{
            "interval":"1d",
            "field":"time"
          }
        }
      }
    }
  }
}

I can only obtain a list of names with their occurence in the period like:

DAY 1
A: 2 times
B: 1 times
C: 2 times

But I wold like to obtain somthing like:

DAY 1
100 names are present 1 times
50 names are present 2 times
1 names is present 3 times

Thanks!