Combination
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This document discusses two types of combinations: combinations with repetition and combinations without repetition. Combinations with repetition allow elements to be chosen multiple times from a set, while combinations without repetition do not allow repeats. It provides examples to illustrate each type, such as how many 2-letter words can be created from 4 letters with repetition (10 combinations) versus without repetition (6 combinations). The key difference between the two types is whether repetition of elements is allowed or not when selecting elements from a set.
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Combination
This document contains a mathematics lesson on combinations and permutations. It begins with examples of finding the number of combinations and permutations of letters. It then provides examples of combination word problems involving selecting groups from larger sets, forming committees, handshakes, and selecting exam questions. Applications of combinations in real world scenarios are also discussed, such as lotteries, fruit salads, and polygon formation using points.
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PROBABILITY OF MUTUALLY EXCLUSIVE EVENTS final.pptx
probability of a mutually and non mutually events. topic in mathematics 10 .statistics and probability . probability of a mutually and non mutually events. topic in mathematics 10 .statistics and probability . probability of a mutually and non mutually events. topic in mathematics 10 .statistics and probability . probability of a mutually and non mutually events. topic in mathematics 10 .statistics and probability . probability of a mutually and non mutually events. topic in mathematics 10 .statistics and probability . probability of a mutually and non mutually events. topic in mathematics 10 .statistics and probability . probability of a mutually and non mutually events. topic in mathematics 10 .statistics and probability . probability of a mutually and non mutually events. topic in mathematics 10 .statistics and probability . probability of a mutually and non mutually events. topic in mathematics 10 .statistics and probability . probability of a mutually and non mutually events. topic in mathematics 10 .statistics and probability . probability of a mutually and non mutually events. topic in mathematics 10 .statistics and probability . probability of a mutually and non mutually events. topic in mathematics 10 .statistics and probability . probability of a mutually and non mutually events. topic in mathematics 10 .statistics and probability . probability of a mutually and non mutually events. topic in mathematics 10 .statistics and probability . probability of a mutually and non mutually events. topic in mathematics 10 .statistics and probability . probability of a mutually and non mutually events. topic in mathematics 10 .statistics and probability . probability of a mutually and non mutually events. topic in mathematics 10 .statistics and probability . probability of a mutually and non mutually events. topic in mathematics 10 .statistics and probability . probability of a mutually and non mutually events. topic in mathematics 10 .statistics and probability . probability of a mutually and non mutually events. topic in mathematics 10 .statistics and probability . probability of a mutually and non mutually events. topic in mathematics 10 .statistics and probability . probability of a mutually and non mutually events. topic in mathematics 10 .statistics and probability . probability of a mutually and non mutually events. topic in mathematics 10 .statistics and probability . probability of a mutually and non mutually events. topic in mathematics 10 .statistics and probability . probability of a mutually and non mutually events. topic in mathematics 10 .statistics and probability . probability of a mutually and non mutually events. topic in mathematics 10 .statistics and probability . probability of a mutually and non mutually events. topic in mathematics 10 .statistics and probability . probability of a mutually and non mutually events. topic in mathematics 10 .statistics and probability . probability of a mutually and non mutually events. topic in
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2) The triangle inequality theorem states that the sum of the measures of any two sides of a triangle is greater than the measure of the third side.
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1. Synthetic division can be used to divide polynomials when the divisor has a leading coefficient of 1 and there is a coefficient for every power of the variable in the numerator.
2. The procedure involves writing the terms of the numerator in descending order, bringing down the constant of the divisor, multiplying and adding down the columns to obtain the coefficients of the quotient polynomial and the remainder.
3. An example problem walks through each step of synthetic division to divide (5x^4 - 4x^2 + x + 6) / (x - 3), obtaining a quotient of 5x^3 + 15
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Here are the steps to solve this joint variation problem:
1) Find the constant of variation k: V = kBh, 24 = k(12)(6), k = 1
2) Use the variation function: V = Bh, 54 = B(9), B = 18 ft^2
The answer is 18 ft^2.
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The document discusses combinations and restricted combinations. Some key points:
- Combinations refer to the number of ways of selecting items without regard to order, as opposed to permutations which consider order.
- A combination formula is given to calculate the number of combinations of n items taken r at a time.
- Examples demonstrate calculating combinations in situations like selecting committee members or players for a team when certain items must or cannot be included.
- The number of combinations when p particular items must be included is written as n-pCr-p, and when p items cannot be included is n-pCr.
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This document provides steps for solving radical equations:
1) Isolate the radical on one side of the equation by performing inverse operations
2) Raise both sides of the equation to a power equal to the index of the radical to eliminate the radical
3) Solve the remaining polynomial equation
It includes examples of solving simpler radical equations as well as more complex equations involving fractions and multiple radicals. Checking solutions is emphasized as extraneous solutions may occasionally occur. Graphing calculators can also help visualize and find solutions to radical equations.
Quadratic inequalities
A quadratic inequality is an inequality involving a quadratic expression, such as ax^2 + bx + c < 0. To solve a quadratic inequality, we first find the solutions to the corresponding equation (set the inequality equal to 0) and then test values on either side of those solutions in the original inequality to determine the solutions to the inequality. The solutions to the inequality will be all values of the variable that satisfy the given relationship.
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4 2 rules of radicals
The document discusses rules for simplifying radical expressions. It states the square root and multiplication rules, which are that the square root of a squared term is the term itself, and that the square root of a product is the product of the square roots. Examples are provided to demonstrate applying these rules to simplify radical expressions by extracting square factors from the radicand. The division rule for radicals is also stated.
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3. An overview of funded counties and communities in each region based on selected indicators for the program's goals on underage drinking and binge drinking.
Feeling in control is important to people
This document summarizes a research study that examined the relationship between perceptions of control, choice, and culture. The study found that: 1) Giving participants choice only produced higher feelings of control when it allowed them to influence the outcome; 2) Participants who could influence the outcome through their choice felt more in control and responsible than other groups; 3) Having control without choice led to higher feelings of influence than having no control. The results indicated that perceived control is associated with actual control over outcomes, not just the illusion of choice.
ACCEY WINE CORP..
ACCEY Wine Company is establishing the first winery in Baguio, Philippines along Legarda Road. They will produce a limited edition pink wine called Swarley for Valentine's Day. The winery aims to attract younger consumers through an interactive website allowing online wine sales. It was recently formed and will focus on premium wines, sustainability, and excellent customer service. Swarley is a sparkling pink wine made for romance that will pair well with Valentine's Day meals.
Data types & object
This document discusses data types in ABAP including predefined, local, and global data types. Predefined data types are either complete with a fixed length like date or incomplete without a fixed length like character strings. Local data types are declared in a program while global types are declared in the ABAP dictionary. Data objects like variables and constants are defined using a data type. Literals, text symbols, and predefined objects like Space and SY are also discussed.
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Combination
- 1. COMBINATION
- 2. A combination of a set of distinct objects is an unordered selection of elements from the set
- 3. THERE ARE BASICALLY 2 TYPES OF COMBINATION COMBINATION WITH REPETITION COMBINATION WITHOUT REPETITION
- 4. Ex. Let us say there are five flavors of ice-cream: banana, chocolate, lemon, strawberry and vanilla. You can have three scoops. How many variations will there be? Let's use letters for the flavors: {b, c, l, s, v} Problem: How many 3-scoop ice-cream set will be created out of five flavors?
- 6. CCC SSS BCL CCB SSB BCS CCS SSC BCV BBB CCL LLL SSL VVV BLS BSV BBC CCV LLB SSV VVB BLV CLS BBL LLC VVC CLV BBS LLS VVL VCS BBV LLV VVS VSL
- 7. COMBINATION WITH REPETITION: EX. How many different 2-letter words can be created from 4 distinct letters such as a, b, c and d?
- 8. where n is the number of things to choose from, and you choose r of them (Repetition allowed, order doesn't matter) 10
- 9. AA AA BB BB CC CC DD DD AB BA AC CA AD DA BC CB BD DB CD DC
- 10. COMBINATION WITHOUT REPETITION where n is the number of things to choose from, and you choose r of them Given: n=4 (No repetition, order doesn't r=2 matter) =6