How do you represent the tables below using Tree Diagrams? The instructor likes the tables but wants me to include a visual representation for each table I created. I get confused when trying to make the table because the diagram would become so large.

***Instructor comment: I don't want to count every branch... how can we use a portion of the tree to come up with the final answer? The tree plus a bit of explanation will do the trick.

The original Question:

Q3: A snack cupboard contains seven chocolate bars (milk, 70%, 92%, hazelnut, vanilla, caramel, hot chilli), six different jars of peanuts, three different bags of chips, and four bags of pretzel sticks (original, gluten free, pumpernickel, unsalted). In how many ways can a tray of snacks be put together if the tray must contain only one chocolate bar, one jar of peanuts, one bag of chips, and either

a) any number of bags of pretzel sticks; or

b) one bag of pretzel sticks?

Provide an appropriate diagram with your solution process.

Q3A

First Choice	Second Choice	Third Choice	Fourth Choice
Include 1 CB	Include 1 JP	Include 1 BC	Include Any Number BP
Chocolate Bar 1: A	Jar of Peanuts 1: A	Bags of Chips 1: A	Bag of Pretzels 0
Chocolate Bar 1: B	Jar of Peanuts 1: B	Bags of Chips 1: B	Bag of Pretzels 1: A
Chocolate Bar 1: C	Jar of Peanuts 1: C	Bags of Chips 1: C	Bag of Pretzels 2: B
Chocolate Bar 1: D	Jar of Peanuts 1: D		Bag of Pretzels 3: C
Chocolate Bar 1: E	Jar of Peanuts 1: E		Bag of Pretzels 4: D
Chocolate Bar 1: F	Jar of Peanuts 1:F		Bag of Pretzels 2: AB
Chocolate Bar 1: G			Bag of Pretzels 2: AC
			Bag of Pretzels 2: AD
			Bag of Pretzels 2: BC
			Bag of Pretzels 2: BD
			Bag of Pretzels 2: CD
			Bag of Pretzels 3: ABC
			Bag of Pretzels 3: ACD
			Bag of Pretzels 3: BCD
			Bag of Pretzels 3: ABD
			Bag of Pretzels 4: ABCD
7 x	6 x	3 x	16 = 2016

Question 3 B

** The instructor suggested trying to create a tree diagram for B would be the best way to start, then try A.

First Choice	Second Choice	Third Choice	Fourth Choice
Include 1 CB	Include 1 JP	Include 1 BC	Include 1 BP
Chocolate Bar 1: A	Jar of Peanuts 1: A	Bags of Chips 1: A	Bag of Pretzels 1: A
Chocolate Bar 1: B	Jar of Peanuts 1: B	Bags of Chips 1: B	Bag of Pretzels 2: B
Chocolate Bar 1: C	Jar of Peanuts 1: C	Bags of Chips 1: C	Bag of Pretzels 3: C
Chocolate Bar 1: D	Jar of Peanuts 1: D		Bag of Pretzels 4: D
Chocolate Bar 1: E	Jar of Peanuts 1: E
Chocolate Bar 1: F	Jar of Peanuts 1:F
Chocolate Bar 1: G
7 x	6 x	3 x	4 = 504