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How many different ways are there to divide the 25 students to groups?

Darien Fawks

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Joined
Oct 21, 2015
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There are 25 students: 10 Greek, 8 Finns, 2 Russians, and 5 Swedes. The students study in groups. A "group" always consists of one or more students. If a group has at least 2 students that are of same nationality, then the group has to have at least one student who is of a different nationality. How many different ways are there to divide the 25 students to groups?

Any help? :( I am in a hurry with this one!
 
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stapel

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Feb 4, 2004
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There are 25 students: 10 Greek, 8 Finns, 2 Russians, and 5 Swedes. The students study in groups. A "group" always consists of one or more students. If a group has at least 2 students that are of same nationality, then the group has to have at least one student who is of a different nationality. How many different ways are there to divide the 25 students to groups?

Any help? :( I am in a hurry with this one!
Then please quickly provide a clear listing of your thoughts and efforts so far, showing what you've tried and where you got stuck, so that we may provide useful assistance. Thank you! ;)
 
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