Odds of matching from a pool of 21

[Frank]

For those participating in the 21 ball challenge here are the odds involved.
If you have a pool of 21 numbers for a 6/49 game and you compare them with each 7 ball lotto result, these are the odds of getting various matches:-

Odds of matching 7 = 737 to 1
Odds of matching 6= 56 to 1
Odds of matching 5= 10 to 1
Odds of matching 4 = 3.4 to 1
Odds of matching 3= 2.2 to 1
Odds of matching 2 = 3.16 to 1
Odds of matching 1 = 10 to 1
Odds of matching 0 = 72 to 1

So you are most likely to match 3, not too difficult to match 4, match 5 or better consistently and you have a system!

Number of lines for full wheel 6 from a pool of 21 = 54,264