There are four groups of 4 that will make eight groups of 2.
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50/2 = 25 groups
4^8
2 and there is 5 left over. Do the math work!
There are 247 groups comprising 2 or more students.
There are 2^35 = 34,359,738,368 possible groups: 1 group with none of the objects in it; 35 groups with 1 object in them; 595 groups with 2 objects in them; 6,545 groups with 3 objects in them; ... 6,545 groups with 32 objects in them; 595 groups with 33 objects in them; 35 groups with 34 objects in them; 1 group with all 35 objects in it.