Rosalie is looking at locks. The label combination lock confuses her. She wonders about the number of possible permutations or combinations a lock can have. She looks at one circular lock with 12 positions. To open it she turns the dial clockwise to a first position, then counterclockwise to a second position, then clockwise to a third position Write an expression for the number of 3-position codes that are possible, if no position is repeated. Explain how this represents a combination or a permutation. Explain how this represents a combination or a permutation. Rosalie looks at cable locks. Each position can be set from 0 to 9. How many different codes are possible for each lock if no digits are repeated in each code? a 3-digit cable lock a 4-digit cable lock a 6-digit cable lock Rosalie needs 2 cable locks, but there are 13 types of locks to choose from. In how many ways can she choose 2 different locks? Explain how this represents a permutation or a combination. Explain why you think Rosalie might be confused by the label combination lock. Rosalie wants to lock her bicycle near the library. There are 7 slots still open in the bike rack. Choose the letter for the best answer. Rosalie arrives at the same time as 2 other cyclists. In how many ways can they arrange their bikes in the open slots? Suppose Rosalie arrived just ahead of the 2 other cyclists and selected a slot. In how many ways can the others arrange their bikes m the open slots?
