SOLUTION: The Students Union council will elect a new Executive Committee, including one president, two vice presidents, three secretaries from 15 candidates. How many arrangements are poss
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Question 788727: The Students Union council will elect a new Executive Committee, including one president, two vice presidents, three secretaries from 15 candidates. How many arrangements are possible?
Found 2 solutions by yuginiwa, algebrahelp101:
Answer by yuginiwa(6) (Show Source): You can put this solution on YOUR website!
one president + 2 vice presidents + 3 secretaries from 15 candidates
1 + 2 + 3 = 6
n= 15
k= 6
C { n,k ) = n!
-------------
k! * (n-k)!
15!
-------------
6! * (15-6)!
15!
-------------
6! * 9!
1307674368000
-------------
261273600
= 5005 arrangements
Answer by algebrahelp101(11) (Show Source): You can put this solution on YOUR website!
one president + 2 vice presidents + 3 secretaries from 15 candidates
1 + 2 + 3 = 6
n= 15
k= 6
C { n,k ) = n!
-------------
k! * (n-k)!
15!
-------------
6! * (15-6)!
15!
-------------
6! * 9!
1307674368000
-------------
261273600
= 5005 arrangements
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