Between October 5, 2020 Monday and October 18, 2020 Sunday, including these two days, two meetings will be held on two different days within these 14 days.
If an arrangement is to be made such that at least one of the meetings is on a weekday, in how many different ways can this arrangement be made?
A) 70
B) 75
C) 80
D) 85
E) 90

Two students from each of three different schools will participate in a chess tournament. In the first round of the tournament, each student will be paired with a student who is not from their own school.
Accordingly, in how many different ways can the pairing in the first round be done?
A) 6
B) 8
C) 9
D) 12
E) 15

In a textile workshop, cardboard boxes arranged in a row will pass sequentially through two machines that perform labeling.
The first machine writes NORMAL CUT on the first two cardboards, NARROW CUT on the next two cardboards, and continues in this way, writing NORMAL CUT on two cardboards and NARROW CUT on two cardboards in sequence, labeling the cardboards and sending them to the second machine. The second machine labels the first cardboard with S, the second cardboard with M, the third cardboard with L, and continues in this way, labeling the cardboards sequentially with S, M, and L.
Accordingly, what is the label of the 175th cardboard coming out of the second machine?
A) NORMAL CUT M B) NARROW CUT M C) NORMAL CUT S D) NARROW CUT L E) NORMAL CUT L

Regarding the sets $A, B, C, K$ and $L$, $$K = A \times B$$ $$L = B \times C$$ are given.
Given that $K \cup L = \{(1,2), (1,3), (2,2), (3,2), (3,3)\}$, which of the following is the set $K \cap L$?
A) $\{(1,2)\}$ B) $\{(1,3)\}$ C) $\{(2,2)\}$ D) $\{(3,2)\}$ E) $\{(3,3)\}$

Sena has chosen a series A consisting of three films and a series B consisting of three films to watch a different film each of six specific evenings. For each series, Sena will not watch the second film without watching the first film of that series, and will not watch the third film without watching the second film of that series.
Accordingly, in how many different ways can Sena determine the order in which she will watch these six films?
A) 20 B) 24 C) 27 D) 30 E) 32