2. Consider the distinct arrangements of the 12 letters in the word PALEOZOOLOGY. (a) How many distinct arrangements are there?

[1]

Note: This is a multiple choice question in Crowdmark.

(b) How many distinct arrangements contain "ZOO" as a subword?

[2]

(c) How many distinct arrangements have none of the 5 letters G, L, L, P, Z adjacent? [3]

(d) (BONUS) How many distinct arrangements contain "ZOO" as a subword and have none

of the 5 letters G, L, L, P, Z adjacent?

The krasnapolski is a top-of-the-line hotel in amsterdam, the netherlands. among their many services, they rent bicycles to guests. the bicycle checkout is open 24 hours per day 7 days per week and has 50 bicycles on hand. on average, 10 guests request a bicycle each day, arriving completely randomly at all times of the day during the spring and summer seasons. guests keep bicycles for four days on average, with a standard deviation of two days. how long does a guest on average have to wait for a bike? a. approximately 24 hours b. approximately 0.033 hours c. approximately 4 days d. approximately 47 minutes