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if order does not matter then, (23x22x21x20x19)/(5x4x3x2x1) = 33,649
20 x 19 x 18/3 x 2 = 1,140 groups
There are only two possibilities... 10 groups of 2 or 5 groups of 4. Unless - you can have varying sized groups - which you didn't specify.
we can make 1 group
2 groups of 16, 4 groups of 8, 8 groups of 4, 16 groups of 2. Not really divided or in groups, but there could be 1 group of 32 or everyone by themselves.
30C8 = 5,852,925
if order does not matter then, (23x22x21x20x19)/(5x4x3x2x1) = 33,649
20 x 19 x 18/3 x 2 = 1,140 groups
There are 247 groups comprising 2 or more students.
they can be 2 groups of 16, 4 groups of 8, 8 groups of 4, or 16 groups of 2
mutlicellular
2.33333333
23 x 22 x 21 x 20/4 x 3 x 2 = 8,855 groups
3 students can be chosen from a class of 30 in (30 x 29 x 28) = 24,360 ways.But each group of the same 3 students will be chosen in six different ways.The number of different groups of 3 is 24,360/6 = 4,060 .
There are five ways to do this, if you include 32 'groups' with one member each.The others are 2 groups of 16, 4 groups of 8, 8 groups of 4 and 16 groups of 2.
6 different groupings can be made from 12: 12 groups of 1, 6 groups of 2, 4 groups of 3, 3 groups of 4, 2 groups of 6, 1 group of 12.
17.0588