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kaheart [24]
3 years ago
15

Pizza is sold at a restaurant in 3 sizes: small (S), medium (M), and large (L). Customers can choose from 4 toppings to be used

on a 1-topping pizza.
The 4 toppings are green peppers (G), ham (H), pepperoni (P), and olives (O).
A customer plans to order a large or medium 1-topping pizza with any topping except pepperoni (P).
This sample space shows all the types of 1-topping pizzas. Which outcomes in the sample space show the types of pizza the customer may order? Select all correct outcomes.

Mathematics
1 answer:
kvasek [131]3 years ago
5 0

Answer:

MG, MH, MO, LG, LH, LO

Step-by-step explanation:

since pepperoni not allowed, only G,H,O are allowed. so 6 choices available

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In how many ways could 12 people be
laila [671]

Step-by-step explanation:

There are total 12 People

Person 1, Person 2,3,4,5,6,7, 9, 10, 11 and 12 at a round table

12 Chairs: 1,2,3,4,5,6,7,8,9,10,11 and 12                                                                                

Let chairs 1 and 2 be next to each other

Person 1 is at chair 1 and Person 2 is at chair 2

The rest of the people on 3,4,5,6,7,8,9,10,11 and 12 - can sit in 10! ways

Next, Person 1 and Person 2 change their positions;

Person 1 is sitting at 2 and Person 2 is sitting at 1

The rest of the people on 3,4,5,6,7,8,9,10,11 and 12 - can be rearranged in 10! ways

Therefore, total number of ways in which Person 1 and Person 2 are next to each other is: 2*10! = 7257600

As we then have to find in how many ways they are not sitting next to each other; subtract 7257600 from the total number of possible arrangements.

In circular permutation,

Total number of arrangements of n people = (n-1)!

Here the number of people is 12

Arrangement = (12-1)! = 11!= 39916800

Therefore, the number of ways Person 1 and Person 2 are not next to each other = 39916800 - 7257600 = 2659200

<em>Keywords: </em><em>permutation, combination</em>

<em> Learn more about permutation and combination from brainly.com/question/12953847</em>

<em> #learnwithBrainly</em>

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3 years ago
Write the equation for a line that passes through (4,-1) and has a slope of 5
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Answer:

y = 5x - 21

Step-by-step explanation:

Since we already know the slope, all we need to do is plug the values of x and y into the equation.

y = 5x + b

-1 = 5(4) + b

-1 = 20 + b

-21 = b

The equation is y = 5x - 21.

5 0
3 years ago
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