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How many different groups of 3 students can be formed if there are 20 students in the class?
20 x 19 x 18/3 x 2 = 1,140 groups
How many different groups of 48 cars can be formed from 50 cars?
only one with two cars left
How many 3 digit sets of numbers can be formed from the finite set of 12344?
This depends on whether you do mean sets or if you mean groups as the two are different and often people use the word set when they mean group. 24 groups can be formed and you can calculate this by using the permutation function. 4 possible elements to select from to go into 3 slots, 4P3=24 groups. (Note I said 4 elements not 5, as by definition an element can not be repeated in a set so the set is not {1,2,3,4,4} but {1,2,3,4} unless you mean {1,2,3,44} but this doesn't change anything.)However, while 24 groups can be formed this is not true for sets, groups are structured unlike sets so a group of (1,2,3)≠(2,3,1), but a set{1,2,3}={2,3,1} i.e. the order of the elements matters in a group but not in a set, so only 6 sets of 3 elements can be made compared to 24 groups.
How many groups can 21 be divided to?
7 groups, with 3 in each3 groups, with 7 in each21 groups, with 1 in each1 group, with 21 in each
There are 32 students in a class how many ways can the class be divided in to groups with an equal number?
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.
