Asked by malik jackson
                In a production of west side story, eight actors are considered for the male roles of Tony, Riff, and Bernardo.
 
a.) is this permutation or combination?
b.) in how many ways can the director cast the male roles?
            
        a.) is this permutation or combination?
b.) in how many ways can the director cast the male roles?
Answers
                    Answered by
            MathMate
            
    If the roles can be changed among the three selected actors, then it is a combination.  If they cannot, then it is a permutation.
Therefore a permutation is usually a bigger number than a combination, because to get the combination, we divide the permutation by the number of arrangements of the selected candidates.
Permutation: P(n,r)=n!/(n-r)!
Combination: C(n,r)=n!/((n-r!)r!)
    
Therefore a permutation is usually a bigger number than a combination, because to get the combination, we divide the permutation by the number of arrangements of the selected candidates.
Permutation: P(n,r)=n!/(n-r)!
Combination: C(n,r)=n!/((n-r!)r!)
                    Answered by
            Christina
            
    b.) 8P3 = 336
    
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