.
The cities of Cebu , Mandaue , Lapu-Lapu and Talisay convention this summer for collector of coins , stamps , comic book and baseball card.
From the clues determine which collection met in when city? (15 points)
A. The comic book convention was in August as was the convention held in Mandaue
B. The baseball convention was not in Lapu-Lapu and the coin convention was not in Talisay or Mandaue.
C. The convention in Cebu was held during the week of October 1 whereas the coin convention was held the week after that
D. The convention in Mandaue had more collector attending it than the stamp collector convention.
~~~~~~~~~~~~~~~~~~~~~~~
For brevity, I will use notations C, M, L and T for cities and "c" (coins), "s" (stamps), "b" (books) and "e" (baseball) bor collectors/collections.
(1) From (A), "b" was not in M; "b" was in August.
(2) From (B), "e" was not in L, and "c" was not in T and "c" was not in M.
(3) From (C), "c" was not in C. C was in October. "c" was not in C.
(4) From (D), "s" was not in M.
Looking in this info (1) -(4), we see that neither "b", nor "c", nor "s" was in M.
It leaves only one possibility for M : M = "e". (*)
Next, from (2) "c" was not in T; from (3), "c" was not in C; from (*), "c" was not in M.
It leaves only one opportunity for "c" : "c" = L.
Next, from (A) "b" was not in M; from (1) and (3), "b" was not in C.
It leaves for "b" only one opportunity "b" = T.
Finally, it remains only one opportunity for "s" : "s" = C.
ANSWER. "e" = M (baseball convention was in Mandaue)
"c" = L (coins convention was in Lapu-Lapu)
"b" = T (books convention was in Talisay)
"s" = C (stamps convention was in Cebu).
Solved.