The department has 5 faculty members and 15 students. How many ways can you form a committee of 7 members with one supervisor from the faculty members and the rest are students? Ten candidates are competing for president and vice-president positions. How many ways those candidates can be selected?

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A: It is a problem of combinatorics . It forms a basic background for probability in statistics .

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A:

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A:

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A:

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A:

Q: 39. Buffet Desserts In how many ways can you choose 3 kinds of ice cream and 2 toppings from a…

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Q: A restaurant offers a pasta deal where you choose a type of pasta, a sauce, and two additional…

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Q: Dinner Selections How many ways can a dinner patron select 4 appetizers and 4 vegetabies if there…

A: Given : No. of appetizers = 9 No. of vegetables = 6

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A:

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A: Given : Chemistry books =10 History books =3 Statistics books =2 She choose one book of each

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A: Total seats with Democats 226+4 =230 Total seats with Republicans = 198+7 = 205

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A: The formula for combination is nCr = n! / [r! (n – r)!] = [n (n – 1) … (n – r + 1)] / r!.…

Q: Combination) The Math club consist of 15 members. Four of them will represent the school in a math…

A: To find the possible selection of four students:

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Q: Mary is shopping for houses in the neighborhood.  20 of the houses are between $60,000-$70,000; 30…

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Q: A pizza restaurant is offering a promotion in which you can order a large pizza and your choice of a…

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Q: Seven women and nine men are on the faculty in the mathematics department at a school. How many ways…

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Q: The club members are going to elect their officers. If there are 4 candidates for president, 3 for…

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Q: 5. At a certain clothing store there are 5 choices of color for the shoes, 7 choices of color for…

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Q: At Stanley Park in the summer, you are buying ice cream. You can choose one ice cream flavour, one…

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Q: 2. Tere were some teachers and pupils in a school hall. 10% of the people we teachers, 40% were boys…

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Q: 3. Best Pizza VI has a special running where you can get a large 3 topping pizza for only $20. They…

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Q: From a group of 10 men and 12 women. How many committees of 5 men and 6 women can be formed?

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Q: Using polya's strategy, what is the answer in the problem. An online mobile game tournament was…

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Counting Principles

In statistics, the counting principle can be said to be the concept in which the quantity of an item is determined. There can be a single item, or a group of items, or items that are related to each other. In every possible set of items, the quantity of the possible item groups or their sorting measures can be determined with counting principles.