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# Pre-Cal 40S May 8, 2009

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Introduction to Pascal's Triangle.

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### Pre-Cal 40S May 8, 2009

1. 1. The Binomial Theorem, Fibonacci, and Vitruvian Dan Vitruvian Dan by ﬂickr user nogoodreason
2. 2. A wee little counting quiz now ... test by ﬂickr user foreversouls
3. 3. Simplify each of the following.
4. 4. Consider the digits 1, 3, 5, 7, 9. If repetitions are allowed, ﬁnd: (a) how many 3 digit numbers can be formed. (b) How many 3 digit numbers can be formed if they must be less than 600 and divisable by 5.
5. 5. In how many ways can 7 books be arranged on a shelf if 3 particular books must be together?
6. 6. Expand and simplify ... a+b
7. 7. Find a pattern, add two more rows to the triangle ... 1 1 1 1 2 1 1 3 3 1 1 4 6 4 1
8. 8. Evaluate each term ...
9. 9. Pascal's Triangle How many different patterns can you ﬁnd in the triangle?
10. 10. Pascal's Triangle How many different patterns can you ﬁnd in the triangle?
11. 11. Look again at Pascal's Triangle. Can you ﬁnd: • the quot;hockey stickquot; pattern? • The Fibonacci Sequence? Read the DaVinci Code, it's fun! ;-)