please solve this can you show all the working please (6 marks) 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 Voracekhttps://www.frontiersin.org/articles/10.3389/fpsyg.2016.01199/full , but for now we will limit ourselves to questions regarding sampling choices.

1. How many different samples are possible? (2 marks)
2. 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)
3. 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)