ors in order to ry to dcation a our lovels of temperatur cdien thone man, dinere

Question

ors in order to ry to dcation a our lovels of temperatur cdien thone man, dinerent level"01 and cortain chmical reaction d and two diflerent can catalysts (a) To consider all posible comintion th) Often in preliminary eapss how many suld need to beo nntationchis ostrted o two evel over all pssible combinatios with cach f thehre the thi co loctors n.ted. how many esperiment, to e un to Non This is often called a2 design) 1.2-5 Sono albatrosses often called a w,"ignnym intind c ennni-adr… on Oago Peninsula near Dunedin. New Zealand overyb their young In order to learn mote about the albatr two yeaost and raise so that Find themumelel. selecting from thc.., red. yollow green white. hat are possible or bandingn placed on onc hey can be identificd from a distancs Suppose that thres albatross if (a) The thrce bands are different colors (b) Repeated colors are permissible Andy Roddick and Roger Federer are playing a sennis match in he first player to win three sets wins the match. Considering the possible 1.2-6 uppose that orderings for the winning player, in how many wa end? e World Series in baseball continues until cither the American Lcague team or the National Leaguc team wins four games. How many different orders are possible (e.g ANNAAA means the American League team wins in six games) if the series 12-7 Th goes (a) Four games? (b) Five games? (c) Six games? (d) Seven games?

Explanation / Answer

a)number of possible sequence =N(all game won by Amercian league+All game won by Natinal league)

=1+1 =2

b) number of possible sequence = N( Amercian league wins 3 game out of first 4 and wins 5th+National league wins 3 game out of first 4 and wins 5th) =4!/(3!*1!) +4!/(3!*1!) =4+4 =8

c) number of possible sequence = N( Amercian league wins 3 game out of first 5 and wins 6th+National league wins 3 game out of first 5 and wins 6th) =5!/(3!*2!) +5!/(3!*2!) =10+10 =20

d) number of possible sequence = N( Amercian league wins 3 game out of first 6 and wins 7th+National league wins 3 game out of first 6 and wins 7th) =6!/(3!*3!) +6!/(3!*3!) =20+20 =40

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