Activity 14: statistics task

Question

Question 1: A major corporation has bunch offices in eight major cities in the United States and Canada. The company president wants to visit five of these offices. How many different trips combinations are possible?

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?

4)which question above #1 or #2 is a combination and which one is permutations? Describe why?

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

Answer 1

Q1. Asks for combinations (order does not make a difference), yet one town must be the first visited, then a second. Review the question for accuracy

Q2. Is a combination of 9 machines taken 3 at a time.

9! / [3! (9 - 3)!]