3. People can be right handed, mixed handed, or left handed: RH, MH, LH. People can also be right footed, mixed footed or left footed: RF, MF, LH. So a person

can be one of 9 handedfooted possibilities: RHRF, RHMF, RHLF, MHRF, MHMF, MHLF, LHRF, LHMF, LHRF. Among a group of 1000 students you find that 600 are RHRF, 265 are RHMF, 31 are RHLF, 3 are MHRF, 17 are MHMF, 4 of them are MHLF, 14 of them are LHRF, 19 of them are LHMF, and 47 of them are LHLF. A random sample of 9 students will be selected from this group of 1000 students. Later in the course we will see how these figures compare to the figures found in Table 3 in the 2016 research paper "Footedness Is Associated with Self-reported Sporting Performance and Motor Abilities in the General Population", by Ulrich S. Tran and Martin Voracek https://www.frontiersin.org/articles/10.3389/fpsyg.2016.01199/full, but for now we will limit ourselves to questions regarding sampling choices. STAT 151 (a) How many different samples are possible? (2 marks) (b) How many different samples of size 9 are possible subject to the constraint that no 2 students may have the same handedfooted result? (2 marks) (c) What is the probability that a random sample of 9 students from this group has no two students with the same handedfooted result? (2 marks) 2