You are trying to cast four roles for a play. 12 actors try out, including Sir Ian McKellen and Patrick Stewart. The director tells you that in order to bring in the crowds, you must include at least one of Sir Ian and Patrick in the cast. How many casts are possible? (A) 285 (B) 1980 (C) 5040 (D) 11880 (E} None of the above Ausweri

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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4. You are trying to cast four roles for a play. 12 actors try out, including Sir Ian McKellen and Patrick
Stewart. The director tells you that in order to bring in the crowds, you must include at least one of
Sir lan and Patrick in the cast. How many casts are possible?
(A) 285
(B) 1980
(C) 5040
(D) 11880
(E) None of the above
Answer:
Transcribed Image Text:4. You are trying to cast four roles for a play. 12 actors try out, including Sir Ian McKellen and Patrick Stewart. The director tells you that in order to bring in the crowds, you must include at least one of Sir lan and Patrick in the cast. How many casts are possible? (A) 285 (B) 1980 (C) 5040 (D) 11880 (E) None of the above Answer:
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