Introduction Consider the numbers 1 2 3‚ how many combinations are there? 1x2x3=6‚ so there is 6 combinations‚ but how about using combinations and permutations to another level? How does Permutations actually affect our lives? One different combination would result in many other results such as the phone number. Imagine if a particular person’s phone number is 92719071‚ if i change the 1 at the end into 4‚ could you still call him? Or would you call another person instead? One time‚ there was
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work out the possible die combinations for each roll (from 3 to 18). They are the following: 3 - (1+1+1) Possible Combinations: 1 4 - (1+2+1) Possible Combinations:1 5 - (1+3+1) (1‚2‚2) Possible Combinations:2 6 - (1‚4‚1) (1‚3‚2) (2‚2‚2) Possible Combinations:3 7 - (1‚4‚2) (1‚3‚3) (5‚1‚1) (3‚2‚2) Possible Combinations:4 8 - (1‚4‚3) (1‚2‚5) (1‚1‚6) (4‚2‚2) (3‚3‚2) Possible Combinations: 5 9 - (6‚2‚1) (5‚3‚1) (5‚2‚2) (4‚4‚1) (4‚3‚2) (3‚3‚3) Possible Combinations:6 10 - (6‚3‚1) (6‚2‚2) (5
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Permutations and Combinations Questions: What are permutations? Combinations? In what types of situations would you apply each one? Launch: Your family is ordering an extra-large pizza. There are four toppings to choose from (pepperoni‚ sausage‚ bacon‚ and ham). You have a coupon for a three-topping pizza. 1.) Determine all the different three-topping pizzas you could order. You may want to create a list‚ diagram‚ table‚ or chart to show possible outcomes and counting techniques.
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Section 5 Permutations and Combinations In preceding sections we have solved a variety of counting problems using Venn diagrams and the generalized multiplication principle. Let us now turn our attention to two types of counting problems that occur very frequently and that can be solved using formulas derived from the generalized multiplication principle. These problems involve what are called permutations and combinations‚ which are particular types of arrangements of elements of a set. The
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Department MAT 305: Combinatorics Topics for K-8 Teachers Basic Counting Techniques The Addition Principle The Multiplication Principle Permutations Combinations Circular Permutations Factorial Notation Here we conceptualize some counting strategies that culminate in extensive use and application of permutations and combinations. The questions raised all require that we count something‚ yet each involves a different approach. The Addition Principle If I order one vegetable from the
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conflicts. Inquiry‚ if not permitted‚ can result in failed open communication. There are four possible combinations which are: low advocacy and low inquiry‚ high advocacy and low inquiry‚ low advocacy and high inquiry and high advocacy and high inquiry. Each of these combinations can be used in a constructive and non-constructive manner. However‚ some general guidelines for each combination are: Low Advocacy and Low Inquiry (Observing) The speaker does not reveal their point of view nor question
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present‚ substitute a zero in its place. For example‚ the first number in the first row is 0 + 1 = 1‚ whereas the numbers 1 and 3 in the third row are added to produce the number 4 in the fourth row”.1 Pascal’s Triangle can also be used to find combinations. By using certain row numbers with the amount of
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same number twice whether or not it would connect. The method I used to explore my concept was to pick three numbers and make spiralaterals for all the possible combinations of those three numbers. So I made spiralaterals for 1-2-3‚ 1-3-2‚ 2-1-3‚ 2-3-1‚ 3-2-1 and 3-1-2 and saw what it did. Also I threw in some random number combinations just to see what it would do and because I was bored with doing them in order. While doing this POW and
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curves. Answer. PRODUCERS EQUILIBRIUM (Optimum factor combination or least cost combination).: The optimal combination of factor inputs may help in either minimizing cost for a given level of output or maximizing output with a given amount of investment expenditure. In order to explain producer’s equilibrium‚ we have to integrate Iso-quant curve with that of Iso-cost line. Iso-product curve represent different alternative possible combinations of two factor inputs with the help of which a given level
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“I know what color hat I have on‚” and she gave the correct answer. Our task is to find out how she did this. When I first looked at this problem I started to write out all of the possible combinations of hats. I figured out that there are only seven possible combinations of hats. Possible Combinations |Student One- Arturo |Student Two- Belicia |Student Three- Carletta | |Blue
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