In how many ways can 7 people be divided into 4 groups ?

[paul_boz]

I think the answer is 875 but I'm far from confident.

There are only 3 ways to make up 4 teams from 7 people;
A. 1,1,1,4
B. 1,1,2,3
C. 1,2,2,2

A gives 35 combinations
B gives 210 combinations
C gives 630 combinations

So the total is 875. Am I right or wrong ?

Many thanks in advance.

[Guest]

In my opinion, you are right.

[paul_boz]

Actually, it looks like I'm wrong as the answer to C is in fact 630/3!=105 giving a grand total 350.

See [url]https://math.stackexchange.com/questions/1950304/combinatorics-dividing-people-into-groups
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