Statistics task

Question

Question 2: Swanton Welding is setting up the shop for new production run. Nine welding machines are available but only three spaces are available in the production area of the shop. In how many different ways can the nine welding machines be arranged in the three available spaces?

1) what is the main difference between the permutations and combinations? Describe.

2) Describe situation where permutations would be used in the real world?

3) Describe situations where combinations would be used in the real world?

5)which method do you think is used the “Lottery”? Describe why?

Answer 1

Question 2 - combinations of 9 machines over 3 spaces because it does not matter what order in the spaces the machines are: C(9,3) = 9!/(6!3!) = 84

1) for permutations order matters; for combinations order does not

2) how many ways can 3 racers out of 10 finish 1st, 2nd and 3rd

3) how many ways can 2 council seats be filled by 10 candidates

5) combinations - because the order of the numbers does not matter