Recap of indices Multi-choice qs. Factorial notation.

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Presentation transcript:

Recap of indices Multi-choice qs

Factorial notation

How many ways are there of arranging six different books on a shelf?

Results Number of books Number of ways How many ways are there for n books?

Factorials n! = 1 x 2 x 3 x 4 x 5 x………x(n - 1) x n n must be a non-negative whole number Examples: 4! = 1 x 2 x 3 x 4 = 24 10!= 1 x 2 x 3 x 4 x……x 9 x 10 = Factorials can be calculated directly on your calculator What is the largest factorial that you can find using your calculator?

Write the following in terms of factorials 6 x 7 x 8 x 9 15 x 14 x 13 x 12 Simplify the following: 5!/4!= 100!/98!= n!/(n-1)!= n!/(n-3)!=

Questions to do Write the following in terms of factorials 5x6x7x8x9 12x11x10x9x8 Simplify the following: (n+1)!/n! (n+1)!/(n-1)! (n-1)!xn Textbook work-Chapter 2 Pg249 Ex2B qs2,3,4

Textbook work Chapter 2 Pg249 Ex2B

Expand the following x + y = (x + y) 2 = (x + y) 3 = (x + y) 4 = What do you notice? Can you predict (x + y) 5 ?

Pascal's triangle