Question

A service club consists of 25 math majors and 16 health sciences majors. In how many...

A service club consists of 25 math majors and 16 health sciences majors.

  1. In how many ways can 3 members of the club be seated at the head table?  
  2. In how many ways can 4 members of the club be selected to form an executive board?  
  3. If 6 members of the club will be randomly selected to attend a conference, what is the probability of selecting 3 nursing majors and 3 health sciences majors? Enter as a fraction numerator/denominator

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