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?

answer: option a.

step-by-step explanation:

you know that the quadrilateral opqr ( a four sided figure) is inscribed in circle. this means that all its vertices are on the circle.

then, by definition, the opposite angles of the quadrilateral are supplementary, this means that the sum of their measures is 180 degrees.

you can observe in the figure that the angles ∠opq   and the angle ∠orq   are opposite, therefore:

then, can be used to d to calculate the measure of ∠opq

answer: about 22.67

step-by-step explanation:

15% chance.

step-by-step explanation:

3/10 times, the 5 year old will get a tablet. 5/10 times, the 13 yer old will get a tablet. multiply both fractions to get 15/100 times, both would have a tablet.