For these questions, your answer will be an r-permutation or r-combination. For all cases, assume repetition is not allowed. You should write your answer as an expression. Please do not give the final numeric value. a You are helping design the landscaping row in front of UIC's new CDRLC building (new CS building!) using native plants. The nursery sells 16 different native plants and the landscaping row needs 8 spots filled by plants. How many different ways can you arrange the plants in the landscaping row (assume arrangement will be of all different types of native plants)? b You are helping a florist. He is starting a subscription box where registered customers will receive a box of 5 flowers each month. He has access to 21 different types of flowers. What is the maximum number of months that a subscriber could receive a unique combination of flowers (assume box will be of all different types of flowers)? c There are 411 students in CS 151. Everyone wants to sit in the front row in lecture, but unfortunately there are only 10 seats available. How many lectures would we need to hold to get all possible arrange- ments for the 10 coveted front row lecture seats? Fake bonus points: would you like to attend that many CS 151 lectures?
For these questions, your answer will be an r-permutation or r-combination. For all cases, assume repetition is not allowed. You should write your answer as an expression. Please do not give the final numeric value. a You are helping design the landscaping row in front of UIC's new CDRLC building (new CS building!) using native plants. The nursery sells 16 different native plants and the landscaping row needs 8 spots filled by plants. How many different ways can you arrange the plants in the landscaping row (assume arrangement will be of all different types of native plants)? b You are helping a florist. He is starting a subscription box where registered customers will receive a box of 5 flowers each month. He has access to 21 different types of flowers. What is the maximum number of months that a subscriber could receive a unique combination of flowers (assume box will be of all different types of flowers)? c There are 411 students in CS 151. Everyone wants to sit in the front row in lecture, but unfortunately there are only 10 seats available. How many lectures would we need to hold to get all possible arrange- ments for the 10 coveted front row lecture seats? Fake bonus points: would you like to attend that many CS 151 lectures?
Chapter2: Using Data
Section: Chapter Questions
Problem 13RQ
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