Season Finale Unlocking the Treasure

Answer:

Clue #2. (3 points) The cast and crew will be staying in the 8 tents shown in the Tent Village. Two of the tents will be set aside for to be used for “Hair and Makeup” (one for the males, one for the females). How many different ways can you select these special tents out of the 8 available?

Answer:

Clue #3. (3 points) Since the natives on this remote island only speak Spanish, it is important to know how many people in the cast & crew of 56 people. The producers have provided the following information and asked you to prepare a Venn Diagram depicting the various sets and subsets of this group.

F = {members of the film crew}

S = {members of the cast & crew who speak Spanish}

M = {male members of the cast & crew}

n(F) = 10

n(S) = 14

n(M) = 15

n(F and S) = 4

n(F and M) = 5

n(M and S and F) = 3

n(M or S or F) = 28

How many members of the cast & crew are male and speak Spanish, but are NOT on the Film Crew?

Answer:

Clue #4. (3 points) A strange children’s game was found on the island with the following markings:

Determine the 20th element of the sequence using the general term for the sequence.

Answer

Clue #5. (3 points) This clue requires solving a logic problem:

p: cast member is male

q: cast member speaks Spanish

r: cast member has short hair

s: it is NOT raining

If a cast member is male and has short hair, does not speak Spanish, and it is raining, determine the truth value for the following expression: