There are 30 teams in the national basketball association: 15 in the west- ern conference, and 15 in the eastern conference. (a) suppose each of the teams in the league has one pick in the first round of the nba draft. how many ways are there to arrange the order of the teams selecting in the draft? (b) suppose that each of the first three positions in the draft must be awarded to one of the fourteen teams that did not advance to the play- offs that year. how many ways are there to assign the first three posi- tions in the draft? (c) how many ways are there for eight teams from each conference to advance to the playoffs, if order is unimportant? (d) suppose that every team has three centers, four guards, and five for- wards. how many ways are there to select an all-star team with the same composition from the western conference?

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Christine went shopping and bought each of her six six nephews a? gift, either a video costing? $14.95 or a cd costing? $16.88. she spent ? $ 97.42 97.42 on the gifts. how many videos and how many cds did she? buy?

An annual marathon covers a route that has a distance of approximately 26 miles. winning times for this marathon are all over 2 hours. the following data are the minutes over 2 hours for the winning male runners over two periods of 20 years each. earlier period 14 12 15 22 13 10 19 13 9 14 20 18 16 20 23 12 18 17 6 13 recent period 7 11 7 14 8 9 11 14 8 7 9 8 7 9 9 9 9 8 10 8 (a) make a stem-and-leaf display for the minutes over 2 hours of the winning times for the earlier period. use two lines per stem. (use the tens digit as the stem and the ones digit as the leaf. enter none in any unused answer blanks. for more details, view how to split a stem.) minutes beyond 2 hours earlier period 0 1 2 (b) make a stem-and-leaf display for the minutes over 2 hours of the winning times for the recent period. use two lines per stem. (use the tens digit as the stem and the ones digit as the leaf. enter none in any unused answer blanks.) minutes beyond 2 hours recent period (c) compare the two distributions. how many times under 15 minutes are in each distribution