# Which one of the following could be the order of the presentations, from first to sixth?

Manvir on December 24 at 11:17PM

When I was setting up the game I wasnâ€™t able to make many deductions.

What deductions can you make?

Irina on December 25 at 03:20AM

@manvir,

Let's review the setup for this game. The game requires us to determine the order of six presentations by three teachers - J K L. J presents on N & O. K presents on P S T . L presents on W.

J: N O
K: P S T
L: W

___ ___ ___ ___ ___ ___
1 2 3 4 5 6

The following rules apply:

(1) K cannot give two presentations in a row.
This is an important rule because we know that K must give 3 presentations total, which means that the only four possible scenarios for which presentations could K give:

1. K __ K __ K__
2. __ K __ K __ K
3. K__ __ K__K
4.K__K__ __K

We can conclude that either presentation #1 or #6 or both must be given by K.

__ __ __ __ __ __
/K /K

(2) S must be given earlier than O.

S > O

This rule tells us that one of K's presentations (S) must come before one of J's presentation (O), so S cannot be presentation #6 and O cannot be presentation #1.

__ __ __ __ __ __
~O ~S

(3) T must be given earlier than W.
T > W

This rule tells us that T cannot be #6, and W cannot be #1.

___ __ __ __ __ __
~W ~T
~O ~S

Since neither T nor J can be #6, we can conclude that if one of K's presentations is #6, it must be P.

K(6) -> P

The question asks us which of the following could be the order of presentations.
(A) is incorrect because P&T cannot be consecutive
(B) is incorrect because T cannot be #6
(C) is correct and complies with all the rules.
(D) is incorrect because S > O
(E) is incorrect because S &T cannot be consecutive

Let me know if this makes sense and if you have any other questions.