By dragging statements from the left column to the right column below, give a combinatorial proof of the identity (25)=(+6) +8n The correct proof will use 6 of the statements below. Statements to choose from: Consider the question: How many 8- topping pizzas can you make choosing from n possible toppings? This is because there are n +8 flavors all together, from which you must choose 2. A second answer to the question is G)+(+8n. This is because there are two choices (put it on the pizza or don't) for each topping Since both expressions answer the same question, they must be equal. Therefore (5)-()+()+8n. The first way to answer this question is (***) Your Proof: Put chosen statements in order in this column and press the Submit Answers button.
By dragging statements from the left column to the right column below, give a combinatorial proof of the identity (25)=(+6) +8n The correct proof will use 6 of the statements below. Statements to choose from: Consider the question: How many 8- topping pizzas can you make choosing from n possible toppings? This is because there are n +8 flavors all together, from which you must choose 2. A second answer to the question is G)+(+8n. This is because there are two choices (put it on the pizza or don't) for each topping Since both expressions answer the same question, they must be equal. Therefore (5)-()+()+8n. The first way to answer this question is (***) Your Proof: Put chosen statements in order in this column and press the Submit Answers button.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:23
By dragging statements from the left column to the right column below, give a combinatorial proof of the identity
(2)=()+()+8n
The correct proof will use 6 of the statements below.
Statements to choose from:
Consider the question: How many 8-
topping pizzas can you make
choosing from n possible toppings?
This is because there are n +8 flavors
all together, from which you must
choose 2.
A second answer to the question is
()+(+8n.
This is because there are two choices
(put it on the pizza or don't) for each
topping
Since both expressions answer the
same question, they must be equal.
Therefore (") ()+()+8n.
The first way to answer this question
is (+).
Your Proof: Put chosen statements in order in this column and press the Submit
Answers button.
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