lesson 3 nov 23 09
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Permutations
336
n!a!b!c!
Permutations with identical objects.
where n is a set of objects with
a one kindb anotherc another
etc.
How many different 5digit numbers can be made arranging
4 6 1 6 4 30 ways
How many different "words" can be made from theletters in the word MISSISSIPPI?
34650
How many permutations of 8 letters can be made from
P A R A L L E L30 ways3360
How many different "words" can you make from the letters in the word STATISTICS? 50400
Nohom, Julien, Sayana, C.J, and Janna are sitting in the stands at the talent show together.
a) How many ways can they be seated? 5! = 120 ways
c) What if C.J. and Janna must not sit together?
b) What if C.J and Janna must sit together?
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Poker fun with your best friends by flickr user coltfan909