SQL Find the number of orders in each line count

I have a SQL question from one of the well known IT company couple month ago when they were interviewing me, and I never got it figured out.

An order can have multiple lines - For ex., if a customer ordered cookies,

chocolates, and bread, this would count as 3 lines in one order. The question

is to find the number of orders in each line count. The output of this query

would be something like 100 orders had 1 line, 70 orders had 2 lines, 30 had 3

lines, and so on. This table has two columns - order_id and line_id

 Sample Data:
 order_id   line_id
 1      cookies
 1      chocolates
 1      bread
 2      cookies
 2      bread
 3      chocolates
 3      cookies
 4      milk

desired output:

 orders line
 1       1
 2       2
 1       3

So generally speaking, we have a very large data set, and the line_id per order_id can be ranging from 1 to infinite(Theoretically speaking).

 The desired output for the general case is:

 orders line
 100    1
  70    2
  30    3
  etc..

How can I write a query to find the total number of orders per line count=1,2,3... etc

My thought on this problem is to first subquery the count of line_id per order_id.

And then select the subquery along with a list of values as the second column ranging from 1 to max(lines_id per order)

 Test Data:

 create table data
 (
 order_id int,
 line_id char(50)   
 );


 insert into data
 values(1,  'cookies'),
 (1,    'chocolates'),
 (1,    'bread'), 
 (2,    'bread'),
 (2,    'cookies'),
 (3,    'chocolates'),
 (3,    'cookies'),
 (4,    'milk');


 Since order_id=1 has 3 lines,
 order_id=2 has 2 lines,
 order_id=3 has 2 lines,
 order_id=4 has 1 line.

 Thus it yield our solution:

 orders line
 1       1
 2       2
 1       3

 This is because both order_id = 2 and 3 has 2 lines. So it would mean 2 orders has line = 2.

So far, I have:

 select lines,
 sum(case when orders_per_line = '1' then 1 else 0),
 sum(case when orders_per_line = '2' then 1 else 0),
 sum(case when orders_per_line = '3' then 1 else 0)
 from(
 select lines, order_id, count(*) as orders_per_line from data
 where lines in ('1, '2', '3')
 group by order_id, lines
 )
 group by lines

My query is wrong, as I only want 2 columns, and also creating a sequence of numbers ranging from 1 to max(lines per order) is also wrong.

Any suggestions?

Thanks in advance!