SOLUTION: A club has 49 members. a) How many ways are there to choose four members of the club to serve on an executive committee? [Num] ways b) How many ways are there to choos

Algebra ->  Permutations -> SOLUTION: A club has 49 members. a) How many ways are there to choose four members of the club to serve on an executive committee? [Num] ways b) How many ways are there to choos      Log On


   

Question 893814: A club has 49 members.

a) How many ways are there to choose four members of the club to serve on an executive committee?

[Num] ways

b) How many ways are there to choose a president, vice president, secretary, and treasurer of the club, where no person can hold more than one office?

[Num] ways
Answer by algebriac(10) About Me  (Show Source):
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Part a)
Number of ways= 49 C 4= 211876
Part b)
Number of ways of choosing a president= 49 C 1= 49
Number of ways of choosing a Vice president= 48 C 1= 48
Number of ways of choosing a secretary= 47 C 1= 47
Number of ways of choosing a treasurer= 46 C 1= 46
Total number of ways= 49*48*47*46 = 5085024