Using combination and permutation we found out that there are 30240 ways to make varieties of pizza with 3 toppings.
Given 10 toppings
10C3 =10!/3! 7! =120
10P5 =10!/5! =30240 ways
A permutation is a process of placing objects or numbers in order. Combining is the ability to select an object or number from a group of objects or collections such that the order of the objects does not matter.
In mathematics, a combination is the selection of elements from a set with different members, so the order of selection does not matter.
The process or state of binding. Some combination: A combination of ideas. Combined: A chord is a combination of notes. Alliance of Individuals or Parties: Combinations to restrict transactions.
Learn more about combination here: brainly.com/question/11732255
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Birmingham and Montgomery both have a state sales tax rate of 4 percent and a local tax rate of 6 percent – although the report notes that part of Birmingham lies in Shelby County, meaning the combined rate is only 9 percent in some parts of the city.
Answer:
x>-4 x≤-8
Step-by-step explanation:
Answer:
0.4929 = 49.29% probability that he voted in favor of Scott Walker
Step-by-step explanation:
Bayes Theorem:
Two events, A and B.
In which P(B|A) is the probability of B happening when A has happened and P(A|B) is the probability of A happening when B has happened.
In this question:
Event A: Having a college degree.
Event B: Voting for Scott Walker.
They found that 57% of the respondents voted in favor of Scott Walker.
This means that ![P(B) = 0.57](https://tex.z-dn.net/?f=P%28B%29%20%3D%200.57)
Additionally, they estimated that of those who did vote in favor for Scott Walker, 33% had a college degree
This means that ![P(A|B) = 0.33](https://tex.z-dn.net/?f=P%28A%7CB%29%20%3D%200.33)
Probability of having a college degree.
33% of those who voted for Scott Walker(57%).
45% of those who voted against Scott Walker(100 - 57 = 43%). So
![P(A) = 0.33*0.57 + 0.45*0.43 = 0.3816](https://tex.z-dn.net/?f=P%28A%29%20%3D%200.33%2A0.57%20%2B%200.45%2A0.43%20%3D%200.3816)
What is the probability that he voted in favor of Scott Walker?
0.4929 = 49.29% probability that he voted in favor of Scott Walker
Answer: The ratio of boys to girls in Mrs.Rogers class is 15 to 10.
Step-by-step explanation: