The Binomial Theorem, Fibonacci, and Vitruvian Dan

Vitruvian Dan by flickr user nogoodreason

A wee little counting quiz now ...

test by flickr user foreversouls

Simplify each of the following.

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.

In how many ways can 7 books be arranged on a shelf if 3 particular books must be together?

Expand and simplify ...

a + b

Find a pattern, add two more rows to the triangle ...

11 1

1 2 11 3 3 1

1 4 6 4 1

Evaluate each term ...

Pascal's TriangleHow many different patterns can you find in the triangle?

Pascal's TriangleHow many different patterns can you find in the triangle?

Read the DaVinci Code, it's fun! ;-)

Look again at Pascal's Triangle. Can you find:• the "hockey stick" pattern?• The Fibonacci Sequence?