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?