Below is the list of tables from the database along with their columns and datatype. Need to generate an accurate SQL query for the question.
Only use the columns present in the respective table. Only use the columns which are required to generate the SQL query. Only use table joins if required and not otherwise.

### Tables ###
TABLE: CREATE TABLE climber ( Climber_ID int, Name text, Country text, Time text, Points real, Mountain_ID int )
TABLE: CREATE TABLE mountain ( Mountain_ID int, Name text, Height real, Prominence real, Range text, Country text )

### Question ###
Show the number of climbers for each mountain in a bar chart, could you display in desc by the the number of name?

### Accurate SQL ###

SELECT T2.Name, COUNT(T2.Name) FROM climber AS T1 JOIN mountain AS T2 ON T1.Mountain_ID = T2.Mountain_ID GROUP BY T2.Name ORDER BY COUNT(T2.Name) DESC