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?

Aright triangle has an area of 18 square inches. b: if the triangle is not an isosceles triangle, what are all the possible lengths of the legs, if the lengths are whole numbers. answer !

What is the percentile for data value 6 in the following data set? 4 13 8 6 4 4 13 6 4 13 2 13 15 5 9 4 12 8 6 13 40 25 35 62

Suppose you just purchased a digital music player and have put 8 tracks on it. after listening to them you decide that you like 4 of the songs. with the random feature on your player, each of the 8 songs is played once in random order. find the probability that among the first two songs played (a) you like both of them. would this be unusual? (b) you like neither of them. (c) you like exactly one of them. (d) redo () if a song can be replayed before all 8 songs are played.