Nine graduate students have applied for two available teaching assistantships. In how many ways can these assistantships be awarded among the applicants if (a) No preference is given to any one student?  ways (b) One particular student must be awarded an assistantship?  ways (c) The group of applicants includes five men and four women and it is stipulated that at least one woman must be awarded an assistantship?

Algebra and Trigonometry (MindTap Course List)
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ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter14: Counting And Probability
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Nine graduate students have applied for two available teaching assistantships. In how many ways can these assistantships be awarded among the applicants if

(a) No preference is given to any one student?
 ways

(b) One particular student must be awarded an assistantship?
 ways

(c) The group of applicants includes five men and four women and it is stipulated that at least one woman must be awarded an assistantship?
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