Textbook Question
Use the Binomial Theorem to expand the binomial and express the result in simplified form. (2x+1)^3
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10. Combinatorics & Probability
Combinatorics
Back10. Combinatorics & Probability
Combinatorics
- Textbook Question
Find the term indicated in the expansion. (2x-3)^6; fifth term
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Evaluate the given binomial coefficient 11 8
566views - Textbook QuestionFind the term in the expansion of (x² + y²)^5 containing x^4 as a factor.441views
- Textbook QuestionExercises 89–91 will help you prepare for the material covered in the next section. Evaluate n!/(n-r)! for n = 20 and r = 3387views
- Textbook QuestionExercises 89–91 will help you prepare for the material covered in the next section. Evaluate n!/(n-r)!r! for n = 8 and r = 3426views
- Textbook Question
How many four-digit odd numbers less than 6000 can be formed using the digits 2, 4, 6, 7, 8, and 9?
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Use the formula for nCr to solve Exercises 49–56. To win at LOTTO in the state of Florida, one must correctly select 6 numbers from a collection of 53 numbers (1 through 53). The order in which the selection is made does not matter. How many different selections are possible?
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Use the formula for nCr to solve Exercises 49–56. You volunteer to help drive children at a charity event to the zoo, but you can fit only 8 of the 17 children present in your van. How many different groups of 8 children can you drive?
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Use the formula for nCr to solve Exercises 49–56. Of 12 possible books, you plan to take 4 with you on vacation. How many different collections of 4 books can you take?
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Use the formula for nCr to solve Exercises 49–56. An election ballot asks voters to select three city commissioners from a group of six candidates. In how many ways can this be done?
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Use the Fundamental Counting Principle to solve Exercises 29–40. An ice cream store sells two drinks (sodas or milk shakes) in four sizes (small, medium, large, or jumbo) and five flavors (vanilla, strawberry, chocolate, coffee, or pistachio). In how many ways can a customer order a drink?
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Use the Fundamental Counting Principle to solve Exercises 29–40. A popular brand of pen is available in three colors (red, green, or blue) and four writing tips (bold, medium, fine, or micro). How many different choices of pens do you have with this brand?
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Use the Fundamental Counting Principle to solve Exercises 29–40. The model of the car you are thinking of buying is available in nine different colors and three different styles (hatchback, sedan, or sport). In how many ways can you order the car?
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In Exercises 21–28, evaluate each expression.
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