Four members from a 50-person committee are to be selected randomly to serve as chairperson, vice-chairperson, secretary, and treasurer. The ﬁrst person selected is the chairperson; the second, the vice-chairperson; the third, the secretary; and the fourth, the treasurer. How many different leadership structures are possible?
Answer to relevant QuestionsA lottery exists where balls numbered 1 to 25 are placed in an urn. To win, you must match the four balls chosen in the correct order. How many possible outcomes are there for this game? A family has eight children. If this family has exactly three boys, how many different birth and gender orders are possible? Suppose a compact disc (CD) you just purchased has 13 tracks. After listening to the CD, you decide that you like 5 of the songs. The random feature on your CD player will play each of the 13 songs once in a random order. ...Find P(E or F ) if E and F are mutually exclusive. Find the probability of the indicated event if P(E) = 0.7 and P(F ) = 0.2. Payton’s futsal team consists of 10 girls, but only 5 can be on the ﬁeld at any given time (four ﬁelders and a goalie). (a) How many starting lineups are possible if all players are selected without regard to position ...
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