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What's on the worksheet
- Write each entry of Pascal's triangle as a combination symbol and find its value.place 2 of row 7the third entry of row 9the next-to-last entry of row 15the middle entry of row 6the last entry of row 20
- Use three neighboring entries of row 11 to find another entry without multiplying.
- Word problem: selections of toppings at a pancake stand.
- Find the whole number n that makes a sum of combinations equal to 220.
- Count shortest routes on a street grid from corner A to corner B.
- Add a run of combinations by repeated use of Pascal's rule.
- Count groups of people that include or leave out two named people.
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The free lesson teaches it with worked examples and practice problems.
Pascal's triangle: the lesson ›More Chapter 11 worksheets: Counting
- 11.1Cardinality of a finite set
- 11.2Venn diagrams and counting a union
- 11.3Arrangements and factorials
- 11.4Permutations
- 11.5Combinations
- 11.6Counting with restrictions
- 11.7Pascal's triangle
- 11.8The binomial theorem