Pascal s triangle calculator

    • [DOC File]Worksheet C: Pascal’s Triangle

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      Set up the following problems, then you may use your calculator. 7. How many different 12-member juries be chosen from a pool of 25 people? 8. A test consists of 20 questions, but you are told to answer only 15. In how many . different ways can you choose the 15 questions? 9. How many ways can nine starting players be chosen from a softball team of 15? 10. Four seniors will speak at graduation ...

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    • [DOC File]1

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      Permutations and Combinations (Day 2, Pascal’s Triangle) In this problem set, we will explore problems that can be solved using permutations and combinations. 1. A small math class has the following students: Amy, Ben, Catherine, Dan, and Ellen. a. Suppose the teacher selects a first student as class president, a second student as vice president, and a third student as treasurer. How many ...

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    • [DOC File]ANALYSIS: FINAL REVIEW

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      If ABC is a triangle with sides, a, b, and c, then *** To solve an oblique triangle you need to know the measure of at least one side and any two other parts of the triangle. Law of Cosines: *** Use the Law of Cosines when you ONLY have sides *** After you use Law of Cosines ONCE then you can use Law of Sines. DeMoirvre’s Theorem: If is a complex number and n is a positive integer, then ...

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    • [DOC File]1

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      Factorials and Permutations (Day 1, Pascal’s Triangle) In this handout, we will review the principles of factorials, permutations, and combinations. (You probably learned about these concepts in a previous math class, but we will begin this unit with a review of those ideas.) In particular, we will explore how these concepts can be used to solve problems involving counting and probability ...

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    • [DOC File]The Number Devil

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      Identify and explain two patterns from the Number Triangle (Pascal’s Triangle). When Al, Betsy, Charlie, Doris, Enrique, Felice, Gary, Hugh, Iris, Jamil, and Karen were all in the classroom, how many different ways could they arrange their desks? You may use a calculator. (Hint: 11 vroom!) Name: Period: Bellwork The Number Devil Ninth and Tenth Nights . 1. Use , ≤, or ≥ to make ...

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    • [DOC File]Mr

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      Intro to Sequences; Pascal’s Triangle; Arithmetic & Geometric Sequences. For the following, use the rule to generate the first 4 terms. Start with n= 1, then n = 2 and so on. Determine if the sequence is arithmetic, geometric or neither. 19. Rule: 20. Rule: 21. Rule: 22. Rule: 23. Write your own rule to generate the following: a. An arithmetic sequence b. A geometric sequence. Geo H Unit 14 ...

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    • [DOC File]Synthesis Write

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      Calculator Activity: Locate the nCr button on the graphing calculator and use it to check your last row on Pascal’s triangle. Enter y1 = 7 nCr x in the calculator. ( MATH , [PRB] 3:nCr on the TI(83/84 graphing calculator) Set the table to start at 0 with increments of 1. Create the table and compare the values to Pascal’s Triangle on the previous page. Use this feature to expand (a + b)9 ...

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    • [DOC File]Binomial Theorem - Schoolworkout

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      Pascal’s Triangle. These numbers can also be found using the button on a calculator. For example, the coefficients for the expansion of are: Note 2: As the power of a decreases by 1, the power of b increases by 1. In each term, when you add together the powers of a and b together you get n. So, Example 1: Find the expansion of . Solution:

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    • [DOC File]BINOMIAL EXPANSION INVESTIGATION

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      Part A: Pascal’s Triangle. 1. The triangle of numbers below forms part of the famous “Pascal’s triangle”. 1 Row0. 1 Row1. 1 2 1 Row2. 1 3 3 1 Row3. 1 4 6 4 1 Row4. Look for the patterns from row to row and explain how to write down the next row of the triangle. Write down Pascal’s triangle to seven rows.

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    • [DOC File]MCR3U Expectations Grid: - Weebly

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      1.6 determine, through investigation, and describe the relationship between Pascal's triangle and the expansion of binomials, and apply the relationship to expand binomials raised to whole-number exponents [e.g., (1 + x)4, (2x–1)5 , (2x– y)6, (x(2) + 1)5] 2. Investigating Arithmetic and Geometric Sequences and Series

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