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= 12! / 3! * 9! So there are 220 possible combinations of 3 people chosen from a group of 12.
There are 45,495 ways to form 3 groups from 14 people where each group contains at least 2 members. The calculation involves allocating the initial members and using combinations with repetitions. The stars and bars theorem assists in determining how to distribute the remaining members among groups.
Explanation. There are 12 3 , 4 , 5 = 27720 ways in which 12 people can be divided into three committees 3 , 4 and 5 members.
Types of Numbers NameSymbolSet/Examples Integers Z {1,2,0,1,2,} { . . . 1 , 2 , 0 , 1 , 2 , . . . } Natural N 0,1,2, 0 , 1 , 2 , . . . Real R 15,15,0,2 Rational Q 15,51(=5),23,32,03(=0)3 more rows