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scoundrel [369]
3 years ago
5

Worksheet a2 : fundamental counting principle, factorials, permutations intro 1. a restaurant offers four sizes of pizza, two ty

pes of crust, and eight toppings. how many possible combinations of pizza with one topping are there?
Mathematics
2 answers:
valentina_108 [34]3 years ago
7 0

Answer:


Step-by-step explanation:

64



Brums [2.3K]3 years ago
3 0
There are 64 options available.

To find this answer, we just have to multiply all of the possibilities for each choice. This is the fundamental counting principle.

The are 4 sizes, 2 crusts and 8 toppings.

4 x 2 x 8 = 64
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A test is worth 100 points. There is a total of 26 questions. Spelling questions are worth 2 points each and vocab questions are
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Answer: The spelling questions are 10, while the vocab questions are 16.

Step-by-step explanation: Let the spelling questions be represented by letter p, while the vocab questions should be represented by v. If there is a total of 16 questions as stated, then p + v = 26

Also if there are a total of 100 points obtainable in the test, then spelling questions times 2 points (2p) plus vocab questions times 5 points (5v) equals 100 points. This can be expressed as 2p + 5v = 100

We now have a pair of simultaneous equations as follows

p + v = 26 ———(1)

2p + 5v = 100 ———(2)

Make p the subject of the equation in equation (1). p = 26 - v. Next substitute for the value of p into equation (2)

2(26 - v) + 5v = 100

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Divide both sides of the equation by 3

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