Two groups

The group of 10 girls should be divided into two groups with at least 4 girls in each group. How many ways can this be done?

Correct result:

n =  462

Solution:

C4(10)=(104)=10!4!(10−4)!=10⋅9⋅8⋅74⋅3⋅2⋅1=210  C5(10)=(105)=10!5!(10−5)!=10⋅9⋅8⋅7⋅65⋅4⋅3⋅2⋅1=252  n=(104)+(105)=462

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