How many different sets of 6 and 7 different numbers can we list out from 11,13,18,19,19,20,23,25? 
How many different sets of 6 and 7 different numbers can we list out from 11,13,18,19,19,20,23,25? 

Please no repeating in any case, if the numbers appeared in a set are exactly the same as another but different order is not counted. For example, 11,13,18,19,20 is the same as 13,18,11,20,19. I had hard time listing them all out cause everytime when I look back there were always some sets repeat. Both 6 and 7 number of sets please.


Be aware that set means no two elements are the same.
That repeated 19 should make no difference.

Here are 6 number sets (total 7 of them):
{     13, 18, 19, 20, 23, 25 }
{ 11,     18, 19, 20, 23, 25 }
{ 11, 13,     19, 20, 23, 25 }
{ 11, 13, 18,     20, 23, 25 }
{ 11, 13, 18, 19,     23, 25 }
{ 11, 13, 18, 19, 20,     25 }
{ 11, 13, 18, 19, 20, 23     }

There is only this one 7 number set:
{ 11, 13, 18, 19, 20, 23, 25 }

Is there a mistake in the question?
Maybe repeated 19 should be some other number.

