There are 233 - 1 = 8,589,934,591 combinations, not including the null combination.
34*33/2 = 561
There are 234 - 1 combinations. Each one of the 34 numbers can either be in a combination or not in it. The two-fold choice gives 234 possible options. However, one of these consists of the option where in each case the choice is "not in it". So you have a null combination. Excluding that combination leaves 234 - 1. Remember that in a combination, the order of the numbers does not matter.
There are 35C4 = 35*34*33*32/(4*3*2*1) = 52,360 combinations.
Three combinations: 23, 24 and 34
You can make 5 combinations of 1 number, 10 combinations of 2 numbers, 10 combinations of 3 numbers, 5 combinations of 4 numbers, and 1 combinations of 5 number. 31 in all.
There are 8*7/(2*1) = 28 combinations.
There are 11C2 = 11*10/(2*1) = 55 combinations.
34
The calculation is: (34 x 33 x 32 x 31 x 30) / (1 x 2 x 3 x 4 x 5).
There are 21 combinations.
1, 2, 17, 34.
none