3) There is a high school science fair which has 10 finalists. The exhibits are to be evaluated by 8 judges. Answer the

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3 There Is A High School Science Fair Which Has 10 Finalists The Exhibits Are To Be Evaluated By 8 Judges Answer The 1 (60.35 KiB) Viewed 59 times

3) There is a high school science fair which has 10 finalists. The exhibits are to be evaluated by 8 judges. Answer the following counting questions. (a) Each exhibit is judged and ranked. In how many ways can they be ranked if we allow for the possibility that two or three people tie for 1st place? (b) Each of the judges has one certificate of excellence which they will give to their favorite participant. In how many ways can the certificates be distributed if the individual certificates are identical (participants may receive more than one cer- tificate). (c) If part (6) is changed so that no participant may receive more than one certificate, then in how many ways may they be distributed?