Question 788727
one president + 2 vice presidents + 3 secretaries from 15 candidates
1 + 2 + 3 = 6
n= 15
k= 6
C { n,k ) = n!
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k! * (n-k)!
15!
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6! * (15-6)!
15!
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6! * 9!
1307674368000
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261273600

= 5005 arrangements