SQL help - Count and sort 2 columns with multiple choices

I am building a simple system that registers users. I am only using one table to store everything. Each row consists of a userid, email address, phone number, gender, hair length

Gender can be male or female and hair length can be long, medium or short.

What I am trying to do is show how many males and females have long medium or short hair in a table like the below

See imageshack image here

but I cant figure out the SQLso that I can do this in one query. So far I am here:

SELECT COUNT(1) as 'Gender',
(SELECT COUNT(1) FROM user AS t2 WHERE t2.hair = 's') AS Short,
(SELECT COUNT(1) FROM user AS t2 WHERE t2.hair = 'm') AS Medium,
(SELECT COUNT(1) FROM user AS t2 WHERE t2.hair = 'l') AS Long
FROM user GROUP BY gender

Any help appreciated.