roy has a price chart below for various ingredients he needs to order for his pizza parlor. Pizza Ingredients Item Cost (per pou
2 answers:
Answer:
The correct answer is option A $
Step-by-step explanation:
Cost of 8 pounds of Pepperoni when cost of 1 pound of Pepperoni is $
Cost of 15 pounds of cheese when cost of 1 pound of cheese is $
Cost of 12 pounds of sausage when cost of 1 pound of sausage is $
The total cost of 8 pounds of pepperoni, 15 pounds of cheese, and 12 pounds of sausage
$
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Answer:
Proved
Step-by-step explanation:
From the given parameters, we have:
i.e. the length of each security numbers
i.e. 2 security numbers
Required
In 513 security numbers, 2 must have matching zeros
To do this, we make use of Pigeonhole principle.
First, we calculate the number of all security numbers not having matching zeros.
Each of the 9 digits can be selected in 2 ways.
2 ways implies that each digit is either 0 or not
So, total selection is:
Apply Pigeonhole principle
The principle states that: suppose there are n items in m containers, where , then there is at least one container that contains more than 1 item.
This means that if there are 512 security number without matching zeros, then there is 1 (i.e. 512 + 1) with matching zeros.