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Algebra 2 · Chapter 11 · Lesson 11.4 · Printable PDF

Permutations Worksheet with Answer Key

7 problems on permutations: writing P(n, r) as falling factors and as a quotient of factorials, simplifying to polynomials, medals for a ski race, themes for a spirit week, finding n from an equation, comparing with powers, and holiday cards in a book club. 2 pages, with a worked answer key.

7 problems2 pagesanswer key
Printable Permutations worksheet with answer key - Algebra 2 (Page 1 PDF preview)
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Try one first: a free Chapter 1 worksheet (PDF, no sign-in).

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What's on the worksheet

  1. Write each number as falling factors and as a quotient of two factorials, then find its value.
    P(7, 4)P(11, 3)P(30, 2)P(10, 6)
  2. Simplify each expression with P(n, r), giving some answers as polynomials.
    \dfrac{P(n, 3)}{P(n, 2)}P(n + 1, 2)\dfrac{P(n, 5)}{P(n, 3)}P(n, 2) + P(n, 1)
  3. Word problem: ways to award gold, silver and bronze medals to 9 ski racers.
  4. Word problem: choosing a theme for each day of a 5-day spirit week.
  5. Find the whole number n in each equation and check it.
  6. Compare P(8, 4) with 8 to the 4th and explain why P is smaller than a power.
  7. Word problem: how many members a book club has if 132 holiday cards were mailed.

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The free lesson teaches it with worked examples and practice problems.

Permutations: the lesson ›

More Chapter 11 worksheets: Counting