10. How many three-topping pizzas can be ordered from the list of toppings below? Did you calculate the number of permutations o
1 answer:
Step-by-step explanation:
Total numbers of pizza toppings = 12
Number of three topping pizzas can be ordered are:
where = n = number of elements
k = number of elements choosen
n= 12 , k = 3
We calculated the number of permutations. We made this choice because in permutation order of element matters but in combination its not.
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Both statements are true. Therefore (4,2) is a solution and option D is correct.
The given inequalities are and
.
We need to select the point that is a solution to the system of inequalities (-2,-1), (1,3), (2,1) and (4,2).
<h3>What is an example of a system of inequalities in real life?</h3>Inequalities can be seen in the speed limits on roads, the minimum age for seeing certain movies, and the distance you have to walk to go to the park. Inequalities represent a limit of what is permitted or achievable rather than a precise quantity.
Any point is a solution to this system of inequality if it satisfies both inequalities.
Check the inequalities by each option.
For (-2, -1), .
This statement is false because -1 is greater than -6. Therefore (-2,-1) is not a solution and option A is incorrect.
For (1, 3),
This statement is false because 3 is greater than 0. Therefore (1,3) is not a solution and option B is incorrect.
For (2,1), .
This statement is false because 1 is greater than -2. Therefore (2,1) is not a solution and option C is incorrect.
For (4,2),
Both statements are true. Therefore (4,2) is a solution and option D is correct.
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