Station 5: PRIZES The 150 supporters of the two teams were surveyed about the prize for each member of the winning team. 30 selected the phone, 50 selected the gaming console, 40 selected the laptop, 20 selected the phone and the gaming console, 25 selected the laptop and the gaming console, 15 selected the phone and the laptop, 5 selected all three
A. Create a Venn diagram for the situation above.
Notation: P - phone set, G - gaming console set, L - laptop set
B. Use the Venn diagram to determine the number of supporters that:
Selected only one award :______ Selected exactly two awards : _____ Did not complete the survey:_____
C. Use the Venn diagram above to determine the number of supporters in each subset:
: _______ ∩ ∩ : _______ ∪ ∪ : _______ ∩
: _______( ∪ ) ∩ : _______ ∪ ( )’: _______ ∪ ∪
Station 6: High-Fives - The competition is over! The 3 members of "Team Y" high-five each other. The 4 members of "Team Z" high-five each other. The supporters high-five each other.
A. In how many ways can the members of "Team Y" high-five each other only once?
B. In how many ways can the members of "Team Z" high-five each other only once?
C. In how many ways can the 150 supporters high-five each other only once?