a) The 10 members of the committee have to choose one president and two vice presidents...

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Advance Math

a) The 10 members of the committee have to choose one presidentand two vice presidents (these have to be three different people).In how many ways can they choose these officers? (Note: here is nodistinction between the two vice presidents; there is not a â€œfirstâ€VP and a â€œsecondâ€ VP).
b) Three couples go to a movie theater. They sit in consecutiveseats such that each couple is seating together, that is eachperson is seating next to his/her partner. If there are 6 seatsavailable, in how many ways can they sit?
c) A university wants to assign a three digit number to eachclassroom of a new building. They can use the digits {1,2,3,4,5}but they cannot use any digit more than once. How many classroomnumbers can they assign if the numbers have to be less than250?
d) The University wants to select 4 students for a feedbacksurvey. They want all four students from either Prof. Xâ€™s sectionor Prof. Yâ€™s section. Prof. X has 40 students in his class andProf. Y has 30 students in his class. How many selections arepossible?

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a Given Total number of people10 They have to select 3 people and there is no distinction between VPs the number of selections possible are 10C3120 bGiven total number of seats are 6 Number of people 3 couples 326 See Answer

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